# Finite Set Cardinalities and Ordered Partitions

This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed.

This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately.

batch-20261008-advance-20261010-r02-set-operations-foundations · 2026-10-08 · 100 questions

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.



## 1. Union and Intersection Cardinalities

Finite integer sets A=[] and B=[]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(0, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (0, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0001/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 2. Union and Intersection Cardinalities

Finite integer sets A=[0] and B=[0]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(1, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (1, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0002/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 3. Union and Intersection Cardinalities

Finite integer sets A=[] and B=[100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(1, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (1, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0003/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 4. Union and Intersection Cardinalities

Finite integer sets A=[0, 1] and B=[0, 1]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(2, 2)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (2, 2).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0004/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 5. Union and Intersection Cardinalities

Finite integer sets A=[0] and B=[0, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(2, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (2, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0005/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 6. Union and Intersection Cardinalities

Finite integer sets A=[] and B=[100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(2, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (2, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0006/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 7. Union and Intersection Cardinalities

Finite integer sets A=[-1] and B=[100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(2, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (2, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0007/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 8. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2] and B=[0, 1, 2]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 3)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 3).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0008/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 9. Union and Intersection Cardinalities

Finite integer sets A=[0, 1] and B=[0, 1, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 2)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 2).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0009/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 10. Union and Intersection Cardinalities

Finite integer sets A=[0] and B=[0, 100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0010/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 11. Union and Intersection Cardinalities

Finite integer sets A=[] and B=[100, 101, 102]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0011/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 12. Union and Intersection Cardinalities

Finite integer sets A=[0, -1] and B=[0, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0012/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 13. Union and Intersection Cardinalities

Finite integer sets A=[-1] and B=[100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(3, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (3, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0013/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 14. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2, 3] and B=[0, 1, 2, 3]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 4)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 4).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0014/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 15. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2] and B=[0, 1, 2, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 3)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 3).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0015/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 16. Union and Intersection Cardinalities

Finite integer sets A=[0, 1] and B=[0, 1, 100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 2)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 2).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0016/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 17. Union and Intersection Cardinalities

Finite integer sets A=[0] and B=[0, 100, 101, 102]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0017/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 18. Union and Intersection Cardinalities

Finite integer sets A=[] and B=[100, 101, 102, 103]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0018/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 19. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, -1] and B=[0, 1, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 2)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 2).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0019/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 20. Union and Intersection Cardinalities

Finite integer sets A=[0, -1] and B=[0, 100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 1)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 1).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0020/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 21. Union and Intersection Cardinalities

Finite integer sets A=[-1] and B=[100, 101, 102]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0021/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 22. Union and Intersection Cardinalities

Finite integer sets A=[-2, -1] and B=[100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(4, 0)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (4, 0).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0022/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 23. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2, 3, 4] and B=[0, 1, 2, 3, 4]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(5, 5)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (5, 5).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0023/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 24. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2, 3] and B=[0, 1, 2, 3, 100]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(5, 4)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (5, 4).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0024/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 25. Union and Intersection Cardinalities

Finite integer sets A=[0, 1, 2] and B=[0, 1, 2, 100, 101]; repeated elements count once. Give (|A∪B|, |A∩B|).

View answer and explanation(5, 3)

Count membership in the two sets; common elements enter the union once, and the empty set has size zero. The exact result, retaining the requested order, is (5, 3).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0025/)

Set operations · qf-density10-set-union-intersection-sizes · candidate





## 26. Sorted Symmetric Difference

Finite integer sets A=[] and B=[]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0026/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 27. Sorted Symmetric Difference

Finite integer sets A=[0, 1] and B=[0, 1]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0027/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 28. Sorted Symmetric Difference

Finite integer sets A=[] and B=[-2, 2]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-2, 2]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-2, 2].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0028/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 29. Sorted Symmetric Difference

Finite integer sets A=[-3, 0, 3] and B=[0, 4]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-3, 3, 4]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-3, 3, 4].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0029/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 30. Sorted Symmetric Difference

Finite integer sets A=[-4, 0, 4] and B=[0, 5]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-4, 4, 5]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-4, 4, 5].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0030/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 31. Sorted Symmetric Difference

Finite integer sets A=[-5, 0, 5] and B=[0, 6]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-5, 5, 6]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-5, 5, 6].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0031/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 32. Sorted Symmetric Difference

Finite integer sets A=[-6, 0, 6] and B=[0, 7]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-6, 6, 7]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-6, 6, 7].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0032/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 33. Sorted Symmetric Difference

Finite integer sets A=[-7, 0, 7] and B=[0, 8]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-7, 7, 8]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-7, 7, 8].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0033/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 34. Sorted Symmetric Difference

Finite integer sets A=[-8, 0, 8] and B=[0, 9]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-8, 8, 9]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-8, 8, 9].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0034/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 35. Sorted Symmetric Difference

Finite integer sets A=[-9, 0, 9] and B=[0, 10]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-9, 9, 10]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-9, 9, 10].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0035/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 36. Sorted Symmetric Difference

Finite integer sets A=[-10, 0, 10] and B=[0, 11]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-10, 10, 11]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-10, 10, 11].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0036/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 37. Sorted Symmetric Difference

Finite integer sets A=[-11, 0, 11] and B=[0, 12]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-11, 11, 12]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-11, 11, 12].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0037/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 38. Sorted Symmetric Difference

Finite integer sets A=[-12, 0, 12] and B=[0, 13]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-12, 12, 13]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-12, 12, 13].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0038/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 39. Sorted Symmetric Difference

Finite integer sets A=[-13, 0, 13] and B=[0, 14]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-13, 13, 14]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-13, 13, 14].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0039/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 40. Sorted Symmetric Difference

Finite integer sets A=[-14, 0, 14] and B=[0, 15]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-14, 14, 15]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-14, 14, 15].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0040/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 41. Sorted Symmetric Difference

Finite integer sets A=[-15, 0, 15] and B=[0, 16]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-15, 15, 16]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-15, 15, 16].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0041/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 42. Sorted Symmetric Difference

Finite integer sets A=[-16, 0, 16] and B=[0, 17]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-16, 16, 17]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-16, 16, 17].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0042/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 43. Sorted Symmetric Difference

Finite integer sets A=[-17, 0, 17] and B=[0, 18]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-17, 17, 18]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-17, 17, 18].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0043/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 44. Sorted Symmetric Difference

Finite integer sets A=[-18, 0, 18] and B=[0, 19]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-18, 18, 19]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-18, 18, 19].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0044/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 45. Sorted Symmetric Difference

Finite integer sets A=[-19, 0, 19] and B=[0, 20]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-19, 19, 20]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-19, 19, 20].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0045/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 46. Sorted Symmetric Difference

Finite integer sets A=[-20, 0, 20] and B=[0, 21]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-20, 20, 21]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-20, 20, 21].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0046/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 47. Sorted Symmetric Difference

Finite integer sets A=[-21, 0, 21] and B=[0, 22]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-21, 21, 22]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-21, 21, 22].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0047/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 48. Sorted Symmetric Difference

Finite integer sets A=[-22, 0, 22] and B=[0, 23]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-22, 22, 23]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-22, 22, 23].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0048/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 49. Sorted Symmetric Difference

Finite integer sets A=[-23, 0, 23] and B=[0, 24]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-23, 23, 24]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-23, 23, 24].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0049/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 50. Sorted Symmetric Difference

Finite integer sets A=[-24, 0, 24] and B=[0, 25]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.

View answer and explanation[-24, 24, 25]

Retain elements belonging to exactly one side; this is not the ordinary union. The exact result, retaining the requested order, is [-24, 24, 25].



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0050/)

Set operations · qf-density10-set-symmetric-difference · candidate





## 51. Two Relative-Complement Computations

Finite integer sets A=[] and B=[]; repeated elements count once. The explicit universe is U=[], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([], [])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([], []).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0051/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 52. Two Relative-Complement Computations

Finite integer sets A=[-1, 0] and B=[1]; repeated elements count once. The explicit universe is U=[-1, 0, 1], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([], [])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([], []).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0052/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 53. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 2]; repeated elements count once. The explicit universe is U=[-2, -1, 0, 1, 2], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-2, 1], [-2, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-2, 1], [-2, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0053/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 54. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 3]; repeated elements count once. The explicit universe is U=[-3, -1, 0, 1, 3], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-3, 1], [-3, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-3, 1], [-3, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0054/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 55. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 4]; repeated elements count once. The explicit universe is U=[-4, -1, 0, 1, 4], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-4, 1], [-4, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-4, 1], [-4, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0055/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 56. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 5]; repeated elements count once. The explicit universe is U=[-5, -1, 0, 1, 5], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-5, 1], [-5, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-5, 1], [-5, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0056/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 57. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 6]; repeated elements count once. The explicit universe is U=[-6, -1, 0, 1, 6], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-6, 1], [-6, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-6, 1], [-6, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0057/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 58. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 7]; repeated elements count once. The explicit universe is U=[-7, -1, 0, 1, 7], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-7, 1], [-7, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-7, 1], [-7, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0058/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 59. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 8]; repeated elements count once. The explicit universe is U=[-8, -1, 0, 1, 8], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-8, 1], [-8, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-8, 1], [-8, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0059/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 60. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 9]; repeated elements count once. The explicit universe is U=[-9, -1, 0, 1, 9], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-9, 1], [-9, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-9, 1], [-9, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0060/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 61. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 10]; repeated elements count once. The explicit universe is U=[-10, -1, 0, 1, 10], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-10, 1], [-10, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-10, 1], [-10, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0061/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 62. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 11]; repeated elements count once. The explicit universe is U=[-11, -1, 0, 1, 11], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-11, 1], [-11, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-11, 1], [-11, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0062/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 63. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 12]; repeated elements count once. The explicit universe is U=[-12, -1, 0, 1, 12], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-12, 1], [-12, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-12, 1], [-12, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0063/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 64. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 13]; repeated elements count once. The explicit universe is U=[-13, -1, 0, 1, 13], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-13, 1], [-13, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-13, 1], [-13, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0064/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 65. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 14]; repeated elements count once. The explicit universe is U=[-14, -1, 0, 1, 14], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-14, 1], [-14, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-14, 1], [-14, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0065/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 66. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 15]; repeated elements count once. The explicit universe is U=[-15, -1, 0, 1, 15], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-15, 1], [-15, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-15, 1], [-15, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0066/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 67. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 16]; repeated elements count once. The explicit universe is U=[-16, -1, 0, 1, 16], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-16, 1], [-16, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-16, 1], [-16, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0067/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 68. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 17]; repeated elements count once. The explicit universe is U=[-17, -1, 0, 1, 17], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-17, 1], [-17, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-17, 1], [-17, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0068/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 69. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 18]; repeated elements count once. The explicit universe is U=[-18, -1, 0, 1, 18], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-18, 1], [-18, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-18, 1], [-18, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0069/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 70. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 19]; repeated elements count once. The explicit universe is U=[-19, -1, 0, 1, 19], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-19, 1], [-19, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-19, 1], [-19, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0070/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 71. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 20]; repeated elements count once. The explicit universe is U=[-20, -1, 0, 1, 20], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-20, 1], [-20, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-20, 1], [-20, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0071/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 72. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 21]; repeated elements count once. The explicit universe is U=[-21, -1, 0, 1, 21], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-21, 1], [-21, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-21, 1], [-21, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0072/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 73. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 22]; repeated elements count once. The explicit universe is U=[-22, -1, 0, 1, 22], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-22, 1], [-22, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-22, 1], [-22, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0073/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 74. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 23]; repeated elements count once. The explicit universe is U=[-23, -1, 0, 1, 23], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-23, 1], [-23, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-23, 1], [-23, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0074/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 75. Two Relative-Complement Computations

Finite integer sets A=[0] and B=[-1, 24]; repeated elements count once. The explicit universe is U=[-24, -1, 0, 1, 24], with A,B⊆U. Give (U\(A∪B), (U\A)∩(U\B)), each sorted increasingly.

View answer and explanation([-24, 1], [-24, 1])

Compute each route inside the declared universe; complements are not absolute. The exact result, retaining the requested order, is ([-24, 1], [-24, 1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0075/)

Set operations · qf-density10-set-demorgan-sets · candidate





## 76. Ordered Three-Part Set Partition

Finite integer sets A=[] and B=[]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([], [], [])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([], [], []).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0076/)

Set operations · qf-density10-set-three-way-partition · candidate





## 77. Ordered Three-Part Set Partition

Finite integer sets A=[-1, 0] and B=[0, 1]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-1], [0], [1])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-1], [0], [1]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0077/)

Set operations · qf-density10-set-three-way-partition · candidate





## 78. Ordered Three-Part Set Partition

Finite integer sets A=[-2, 0, 2] and B=[0, 2, 3]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-2], [0, 2], [3])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-2], [0, 2], [3]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0078/)

Set operations · qf-density10-set-three-way-partition · candidate





## 79. Ordered Three-Part Set Partition

Finite integer sets A=[-3, 0, 3] and B=[0, 3, 4]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-3], [0, 3], [4])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-3], [0, 3], [4]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0079/)

Set operations · qf-density10-set-three-way-partition · candidate





## 80. Ordered Three-Part Set Partition

Finite integer sets A=[-4, 0, 4] and B=[0, 4, 5]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-4], [0, 4], [5])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-4], [0, 4], [5]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0080/)

Set operations · qf-density10-set-three-way-partition · candidate





## 81. Ordered Three-Part Set Partition

Finite integer sets A=[-5, 0, 5] and B=[0, 5, 6]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-5], [0, 5], [6])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-5], [0, 5], [6]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0081/)

Set operations · qf-density10-set-three-way-partition · candidate





## 82. Ordered Three-Part Set Partition

Finite integer sets A=[-6, 0, 6] and B=[0, 6, 7]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-6], [0, 6], [7])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-6], [0, 6], [7]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0082/)

Set operations · qf-density10-set-three-way-partition · candidate





## 83. Ordered Three-Part Set Partition

Finite integer sets A=[-7, 0, 7] and B=[0, 7, 8]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-7], [0, 7], [8])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-7], [0, 7], [8]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0083/)

Set operations · qf-density10-set-three-way-partition · candidate





## 84. Ordered Three-Part Set Partition

Finite integer sets A=[-8, 0, 8] and B=[0, 8, 9]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-8], [0, 8], [9])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-8], [0, 8], [9]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0084/)

Set operations · qf-density10-set-three-way-partition · candidate





## 85. Ordered Three-Part Set Partition

Finite integer sets A=[-9, 0, 9] and B=[0, 9, 10]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-9], [0, 9], [10])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-9], [0, 9], [10]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0085/)

Set operations · qf-density10-set-three-way-partition · candidate





## 86. Ordered Three-Part Set Partition

Finite integer sets A=[-10, 0, 10] and B=[0, 10, 11]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-10], [0, 10], [11])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-10], [0, 10], [11]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0086/)

Set operations · qf-density10-set-three-way-partition · candidate





## 87. Ordered Three-Part Set Partition

Finite integer sets A=[-11, 0, 11] and B=[0, 11, 12]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-11], [0, 11], [12])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-11], [0, 11], [12]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0087/)

Set operations · qf-density10-set-three-way-partition · candidate





## 88. Ordered Three-Part Set Partition

Finite integer sets A=[-12, 0, 12] and B=[0, 12, 13]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-12], [0, 12], [13])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-12], [0, 12], [13]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0088/)

Set operations · qf-density10-set-three-way-partition · candidate





## 89. Ordered Three-Part Set Partition

Finite integer sets A=[-13, 0, 13] and B=[0, 13, 14]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-13], [0, 13], [14])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-13], [0, 13], [14]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0089/)

Set operations · qf-density10-set-three-way-partition · candidate





## 90. Ordered Three-Part Set Partition

Finite integer sets A=[-14, 0, 14] and B=[0, 14, 15]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-14], [0, 14], [15])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-14], [0, 14], [15]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0090/)

Set operations · qf-density10-set-three-way-partition · candidate





## 91. Ordered Three-Part Set Partition

Finite integer sets A=[-15, 0, 15] and B=[0, 15, 16]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-15], [0, 15], [16])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-15], [0, 15], [16]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0091/)

Set operations · qf-density10-set-three-way-partition · candidate





## 92. Ordered Three-Part Set Partition

Finite integer sets A=[-16, 0, 16] and B=[0, 16, 17]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-16], [0, 16], [17])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-16], [0, 16], [17]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0092/)

Set operations · qf-density10-set-three-way-partition · candidate





## 93. Ordered Three-Part Set Partition

Finite integer sets A=[-17, 0, 17] and B=[0, 17, 18]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-17], [0, 17], [18])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-17], [0, 17], [18]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0093/)

Set operations · qf-density10-set-three-way-partition · candidate





## 94. Ordered Three-Part Set Partition

Finite integer sets A=[-18, 0, 18] and B=[0, 18, 19]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-18], [0, 18], [19])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-18], [0, 18], [19]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0094/)

Set operations · qf-density10-set-three-way-partition · candidate





## 95. Ordered Three-Part Set Partition

Finite integer sets A=[-19, 0, 19] and B=[0, 19, 20]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-19], [0, 19], [20])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-19], [0, 19], [20]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0095/)

Set operations · qf-density10-set-three-way-partition · candidate





## 96. Ordered Three-Part Set Partition

Finite integer sets A=[-20, 0, 20] and B=[0, 20, 21]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-20], [0, 20], [21])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-20], [0, 20], [21]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0096/)

Set operations · qf-density10-set-three-way-partition · candidate





## 97. Ordered Three-Part Set Partition

Finite integer sets A=[-21, 0, 21] and B=[0, 21, 22]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-21], [0, 21], [22])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-21], [0, 21], [22]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0097/)

Set operations · qf-density10-set-three-way-partition · candidate





## 98. Ordered Three-Part Set Partition

Finite integer sets A=[-22, 0, 22] and B=[0, 22, 23]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-22], [0, 22], [23])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-22], [0, 22], [23]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0098/)

Set operations · qf-density10-set-three-way-partition · candidate





## 99. Ordered Three-Part Set Partition

Finite integer sets A=[-23, 0, 23] and B=[0, 23, 24]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-23], [0, 23], [24])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-23], [0, 23], [24]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0099/)

Set operations · qf-density10-set-three-way-partition · candidate





## 100. Ordered Three-Part Set Partition

Finite integer sets A=[-24, 0, 24] and B=[0, 24, 25]; repeated elements count once. Give (A\B, A∩B, B\A), each sorted increasingly, retaining empty parts.

View answer and explanation([-24], [0, 24], [25])

Partition by left-only, common, and right-only membership without exchanging the two sides. The exact result, retaining the requested order, is ([-24], [0, 24], [25]).



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20261008-advance-20261010-r02-set-operations-0100/)

Set operations · qf-density10-set-three-way-partition · candidate



[Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261008-advance-20261010-r02-set-operations-foundations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20261008-advance-20261010-r02-set-operations-foundations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20261008-advance-20261010-r02-set-operations-foundations/validation-report.json)