# Finite Set Operations

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-20260915-finite-set-operations · 2026-09-15 · 100 questions

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



## 1. Finite Set Union

Let A={1, 3, 5} and B={3, 4, 6}. Find A∪B, listing each element once in increasing order.

View answer and explanation{1, 3, 4, 5, 6}

The union retains every element in A or B and lists duplicates only once, giving {1, 3, 4, 5, 6}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0001/)

Set operations · qf-finite-set-union · candidate





## 2. Finite Set Union

Let A={11, 13, 15} and B={13, 14, 16}. Find A∪B, listing each element once in increasing order.

View answer and explanation{11, 13, 14, 15, 16}

The union retains every element in A or B and lists duplicates only once, giving {11, 13, 14, 15, 16}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0002/)

Set operations · qf-finite-set-union · candidate





## 3. Finite Set Union

Let A={21, 23, 25} and B={23, 24, 26}. Find A∪B, listing each element once in increasing order.

View answer and explanation{21, 23, 24, 25, 26}

The union retains every element in A or B and lists duplicates only once, giving {21, 23, 24, 25, 26}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0003/)

Set operations · qf-finite-set-union · candidate





## 4. Finite Set Union

Let A={31, 33, 35} and B={33, 34, 36}. Find A∪B, listing each element once in increasing order.

View answer and explanation{31, 33, 34, 35, 36}

The union retains every element in A or B and lists duplicates only once, giving {31, 33, 34, 35, 36}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0004/)

Set operations · qf-finite-set-union · candidate





## 5. Finite Set Union

Let A={41, 43, 45} and B={43, 44, 46}. Find A∪B, listing each element once in increasing order.

View answer and explanation{41, 43, 44, 45, 46}

The union retains every element in A or B and lists duplicates only once, giving {41, 43, 44, 45, 46}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0005/)

Set operations · qf-finite-set-union · candidate





## 6. Finite Set Union

Let A={51, 53, 55} and B={53, 54, 56}. Find A∪B, listing each element once in increasing order.

View answer and explanation{51, 53, 54, 55, 56}

The union retains every element in A or B and lists duplicates only once, giving {51, 53, 54, 55, 56}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0006/)

Set operations · qf-finite-set-union · candidate





## 7. Finite Set Union

Let A={61, 63, 65} and B={63, 64, 66}. Find A∪B, listing each element once in increasing order.

View answer and explanation{61, 63, 64, 65, 66}

The union retains every element in A or B and lists duplicates only once, giving {61, 63, 64, 65, 66}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0007/)

Set operations · qf-finite-set-union · candidate





## 8. Finite Set Union

Let A={71, 73, 75} and B={73, 74, 76}. Find A∪B, listing each element once in increasing order.

View answer and explanation{71, 73, 74, 75, 76}

The union retains every element in A or B and lists duplicates only once, giving {71, 73, 74, 75, 76}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0008/)

Set operations · qf-finite-set-union · candidate





## 9. Finite Set Union

Let A={81, 83, 85} and B={83, 84, 86}. Find A∪B, listing each element once in increasing order.

View answer and explanation{81, 83, 84, 85, 86}

The union retains every element in A or B and lists duplicates only once, giving {81, 83, 84, 85, 86}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0009/)

Set operations · qf-finite-set-union · candidate





## 10. Finite Set Union

Let A={91, 93, 95} and B={93, 94, 96}. Find A∪B, listing each element once in increasing order.

View answer and explanation{91, 93, 94, 95, 96}

The union retains every element in A or B and lists duplicates only once, giving {91, 93, 94, 95, 96}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0010/)

Set operations · qf-finite-set-union · candidate





## 11. Finite Set Union

Let A={101, 103, 105} and B={103, 104, 106}. Find A∪B, listing each element once in increasing order.

View answer and explanation{101, 103, 104, 105, 106}

The union retains every element in A or B and lists duplicates only once, giving {101, 103, 104, 105, 106}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0011/)

Set operations · qf-finite-set-union · candidate





## 12. Finite Set Union

Let A={111, 113, 115} and B={113, 114, 116}. Find A∪B, listing each element once in increasing order.

View answer and explanation{111, 113, 114, 115, 116}

The union retains every element in A or B and lists duplicates only once, giving {111, 113, 114, 115, 116}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0012/)

Set operations · qf-finite-set-union · candidate





## 13. Finite Set Union

Let A={121, 123, 125} and B={123, 124, 126}. Find A∪B, listing each element once in increasing order.

View answer and explanation{121, 123, 124, 125, 126}

The union retains every element in A or B and lists duplicates only once, giving {121, 123, 124, 125, 126}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0013/)

Set operations · qf-finite-set-union · candidate





## 14. Finite Set Union

Let A={131, 133, 135} and B={133, 134, 136}. Find A∪B, listing each element once in increasing order.

View answer and explanation{131, 133, 134, 135, 136}

The union retains every element in A or B and lists duplicates only once, giving {131, 133, 134, 135, 136}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0014/)

Set operations · qf-finite-set-union · candidate





## 15. Finite Set Union

Let A={141, 143, 145} and B={143, 144, 146}. Find A∪B, listing each element once in increasing order.

View answer and explanation{141, 143, 144, 145, 146}

The union retains every element in A or B and lists duplicates only once, giving {141, 143, 144, 145, 146}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0015/)

Set operations · qf-finite-set-union · candidate





## 16. Finite Set Union

Let A={151, 153, 155} and B={153, 154, 156}. Find A∪B, listing each element once in increasing order.

View answer and explanation{151, 153, 154, 155, 156}

The union retains every element in A or B and lists duplicates only once, giving {151, 153, 154, 155, 156}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0016/)

Set operations · qf-finite-set-union · candidate





## 17. Finite Set Union

Let A={161, 163, 165} and B={163, 164, 166}. Find A∪B, listing each element once in increasing order.

View answer and explanation{161, 163, 164, 165, 166}

The union retains every element in A or B and lists duplicates only once, giving {161, 163, 164, 165, 166}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0017/)

Set operations · qf-finite-set-union · candidate





## 18. Finite Set Union

Let A={171, 173, 175} and B={173, 174, 176}. Find A∪B, listing each element once in increasing order.

View answer and explanation{171, 173, 174, 175, 176}

The union retains every element in A or B and lists duplicates only once, giving {171, 173, 174, 175, 176}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0018/)

Set operations · qf-finite-set-union · candidate





## 19. Finite Set Union

Let A={181, 183, 185} and B={183, 184, 186}. Find A∪B, listing each element once in increasing order.

View answer and explanation{181, 183, 184, 185, 186}

The union retains every element in A or B and lists duplicates only once, giving {181, 183, 184, 185, 186}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0019/)

Set operations · qf-finite-set-union · candidate





## 20. Finite Set Union

Let A={191, 193, 195} and B={193, 194, 196}. Find A∪B, listing each element once in increasing order.

View answer and explanation{191, 193, 194, 195, 196}

The union retains every element in A or B and lists duplicates only once, giving {191, 193, 194, 195, 196}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0020/)

Set operations · qf-finite-set-union · candidate





## 21. Finite Set Union

Let A={201, 203, 205} and B={203, 204, 206}. Find A∪B, listing each element once in increasing order.

View answer and explanation{201, 203, 204, 205, 206}

The union retains every element in A or B and lists duplicates only once, giving {201, 203, 204, 205, 206}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0021/)

Set operations · qf-finite-set-union · candidate





## 22. Finite Set Union

Let A={211, 213, 215} and B={213, 214, 216}. Find A∪B, listing each element once in increasing order.

View answer and explanation{211, 213, 214, 215, 216}

The union retains every element in A or B and lists duplicates only once, giving {211, 213, 214, 215, 216}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0022/)

Set operations · qf-finite-set-union · candidate





## 23. Finite Set Union

Let A={221, 223, 225} and B={223, 224, 226}. Find A∪B, listing each element once in increasing order.

View answer and explanation{221, 223, 224, 225, 226}

The union retains every element in A or B and lists duplicates only once, giving {221, 223, 224, 225, 226}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0023/)

Set operations · qf-finite-set-union · candidate





## 24. Finite Set Union

Let A={231, 233, 235} and B={233, 234, 236}. Find A∪B, listing each element once in increasing order.

View answer and explanation{231, 233, 234, 235, 236}

The union retains every element in A or B and lists duplicates only once, giving {231, 233, 234, 235, 236}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0024/)

Set operations · qf-finite-set-union · candidate





## 25. Finite Set Union

Let A={241, 243, 245} and B={243, 244, 246}. Find A∪B, listing each element once in increasing order.

View answer and explanation{241, 243, 244, 245, 246}

The union retains every element in A or B and lists duplicates only once, giving {241, 243, 244, 245, 246}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-union-0025/)

Set operations · qf-finite-set-union · candidate





## 26. Finite Set Intersection

Let A={301, 302, 304} and B={302, 304, 306}. Find A∩B, listing each element once in increasing order.

View answer and explanation{302, 304}

The intersection retains exactly the elements common to A and B, giving {302, 304}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0001/)

Set operations · qf-finite-set-intersection · candidate





## 27. Finite Set Intersection

Let A={311, 312, 314} and B={313, 315, 316}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0002/)

Set operations · qf-finite-set-intersection · candidate





## 28. Finite Set Intersection

Let A={321, 322, 324} and B={322, 324, 326}. Find A∩B, listing each element once in increasing order.

View answer and explanation{322, 324}

The intersection retains exactly the elements common to A and B, giving {322, 324}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0003/)

Set operations · qf-finite-set-intersection · candidate





## 29. Finite Set Intersection

Let A={331, 332, 334} and B={333, 335, 336}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0004/)

Set operations · qf-finite-set-intersection · candidate





## 30. Finite Set Intersection

Let A={341, 342, 344} and B={342, 344, 346}. Find A∩B, listing each element once in increasing order.

View answer and explanation{342, 344}

The intersection retains exactly the elements common to A and B, giving {342, 344}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0005/)

Set operations · qf-finite-set-intersection · candidate





## 31. Finite Set Intersection

Let A={351, 352, 354} and B={353, 355, 356}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0006/)

Set operations · qf-finite-set-intersection · candidate





## 32. Finite Set Intersection

Let A={361, 362, 364} and B={362, 364, 366}. Find A∩B, listing each element once in increasing order.

View answer and explanation{362, 364}

The intersection retains exactly the elements common to A and B, giving {362, 364}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0007/)

Set operations · qf-finite-set-intersection · candidate





## 33. Finite Set Intersection

Let A={371, 372, 374} and B={373, 375, 376}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0008/)

Set operations · qf-finite-set-intersection · candidate





## 34. Finite Set Intersection

Let A={381, 382, 384} and B={382, 384, 386}. Find A∩B, listing each element once in increasing order.

View answer and explanation{382, 384}

The intersection retains exactly the elements common to A and B, giving {382, 384}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0009/)

Set operations · qf-finite-set-intersection · candidate





## 35. Finite Set Intersection

Let A={391, 392, 394} and B={393, 395, 396}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0010/)

Set operations · qf-finite-set-intersection · candidate





## 36. Finite Set Intersection

Let A={401, 402, 404} and B={402, 404, 406}. Find A∩B, listing each element once in increasing order.

View answer and explanation{402, 404}

The intersection retains exactly the elements common to A and B, giving {402, 404}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0011/)

Set operations · qf-finite-set-intersection · candidate





## 37. Finite Set Intersection

Let A={411, 412, 414} and B={413, 415, 416}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0012/)

Set operations · qf-finite-set-intersection · candidate





## 38. Finite Set Intersection

Let A={421, 422, 424} and B={422, 424, 426}. Find A∩B, listing each element once in increasing order.

View answer and explanation{422, 424}

The intersection retains exactly the elements common to A and B, giving {422, 424}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0013/)

Set operations · qf-finite-set-intersection · candidate





## 39. Finite Set Intersection

Let A={431, 432, 434} and B={433, 435, 436}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0014/)

Set operations · qf-finite-set-intersection · candidate





## 40. Finite Set Intersection

Let A={441, 442, 444} and B={442, 444, 446}. Find A∩B, listing each element once in increasing order.

View answer and explanation{442, 444}

The intersection retains exactly the elements common to A and B, giving {442, 444}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0015/)

Set operations · qf-finite-set-intersection · candidate





## 41. Finite Set Intersection

Let A={451, 452, 454} and B={453, 455, 456}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0016/)

Set operations · qf-finite-set-intersection · candidate





## 42. Finite Set Intersection

Let A={461, 462, 464} and B={462, 464, 466}. Find A∩B, listing each element once in increasing order.

View answer and explanation{462, 464}

The intersection retains exactly the elements common to A and B, giving {462, 464}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0017/)

Set operations · qf-finite-set-intersection · candidate





## 43. Finite Set Intersection

Let A={471, 472, 474} and B={473, 475, 476}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0018/)

Set operations · qf-finite-set-intersection · candidate





## 44. Finite Set Intersection

Let A={481, 482, 484} and B={482, 484, 486}. Find A∩B, listing each element once in increasing order.

View answer and explanation{482, 484}

The intersection retains exactly the elements common to A and B, giving {482, 484}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0019/)

Set operations · qf-finite-set-intersection · candidate





## 45. Finite Set Intersection

Let A={491, 492, 494} and B={493, 495, 496}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0020/)

Set operations · qf-finite-set-intersection · candidate





## 46. Finite Set Intersection

Let A={501, 502, 504} and B={502, 504, 506}. Find A∩B, listing each element once in increasing order.

View answer and explanation{502, 504}

The intersection retains exactly the elements common to A and B, giving {502, 504}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0021/)

Set operations · qf-finite-set-intersection · candidate





## 47. Finite Set Intersection

Let A={511, 512, 514} and B={513, 515, 516}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0022/)

Set operations · qf-finite-set-intersection · candidate





## 48. Finite Set Intersection

Let A={521, 522, 524} and B={522, 524, 526}. Find A∩B, listing each element once in increasing order.

View answer and explanation{522, 524}

The intersection retains exactly the elements common to A and B, giving {522, 524}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0023/)

Set operations · qf-finite-set-intersection · candidate





## 49. Finite Set Intersection

Let A={531, 532, 534} and B={533, 535, 536}. Find A∩B, listing each element once in increasing order.

View answer and explanation∅

The intersection retains exactly the elements common to A and B, giving ∅.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0024/)

Set operations · qf-finite-set-intersection · candidate





## 50. Finite Set Intersection

Let A={541, 542, 544} and B={542, 544, 546}. Find A∩B, listing each element once in increasing order.

View answer and explanation{542, 544}

The intersection retains exactly the elements common to A and B, giving {542, 544}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-intersection-0025/)

Set operations · qf-finite-set-intersection · candidate





## 51. Directional Finite Set Difference

Let A={601, 602, 604, 606} and B={602, 605, 606}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{601, 604}

A\B retains elements in A that are not in B, giving {601, 604}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0001/)

Set operations · qf-finite-set-difference · candidate





## 52. Directional Finite Set Difference

Let A={611, 612, 614, 616} and B={612, 615, 616}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{611, 614}

A\B retains elements in A that are not in B, giving {611, 614}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0002/)

Set operations · qf-finite-set-difference · candidate





## 53. Directional Finite Set Difference

Let A={621, 622, 624, 626} and B={622, 625, 626}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{621, 624}

A\B retains elements in A that are not in B, giving {621, 624}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0003/)

Set operations · qf-finite-set-difference · candidate





## 54. Directional Finite Set Difference

Let A={631, 632, 634, 636} and B={632, 635, 636}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{631, 634}

A\B retains elements in A that are not in B, giving {631, 634}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0004/)

Set operations · qf-finite-set-difference · candidate





## 55. Directional Finite Set Difference

Let A={641, 642, 644, 646} and B={642, 645, 646}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{641, 644}

A\B retains elements in A that are not in B, giving {641, 644}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0005/)

Set operations · qf-finite-set-difference · candidate





## 56. Directional Finite Set Difference

Let A={651, 652, 654, 656} and B={652, 655, 656}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{651, 654}

A\B retains elements in A that are not in B, giving {651, 654}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0006/)

Set operations · qf-finite-set-difference · candidate





## 57. Directional Finite Set Difference

Let A={661, 662, 664, 666} and B={662, 665, 666}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{661, 664}

A\B retains elements in A that are not in B, giving {661, 664}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0007/)

Set operations · qf-finite-set-difference · candidate





## 58. Directional Finite Set Difference

Let A={671, 672, 674, 676} and B={672, 675, 676}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{671, 674}

A\B retains elements in A that are not in B, giving {671, 674}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0008/)

Set operations · qf-finite-set-difference · candidate





## 59. Directional Finite Set Difference

Let A={681, 682, 684, 686} and B={682, 685, 686}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{681, 684}

A\B retains elements in A that are not in B, giving {681, 684}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0009/)

Set operations · qf-finite-set-difference · candidate





## 60. Directional Finite Set Difference

Let A={691, 692, 694, 696} and B={692, 695, 696}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{691, 694}

A\B retains elements in A that are not in B, giving {691, 694}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0010/)

Set operations · qf-finite-set-difference · candidate





## 61. Directional Finite Set Difference

Let A={701, 702, 704, 706} and B={702, 705, 706}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{701, 704}

A\B retains elements in A that are not in B, giving {701, 704}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0011/)

Set operations · qf-finite-set-difference · candidate





## 62. Directional Finite Set Difference

Let A={711, 712, 714, 716} and B={712, 715, 716}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{711, 714}

A\B retains elements in A that are not in B, giving {711, 714}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0012/)

Set operations · qf-finite-set-difference · candidate





## 63. Directional Finite Set Difference

Let A={721, 722, 724, 726} and B={722, 725, 726}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{721, 724}

A\B retains elements in A that are not in B, giving {721, 724}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0013/)

Set operations · qf-finite-set-difference · candidate





## 64. Directional Finite Set Difference

Let A={731, 732, 734, 736} and B={732, 735, 736}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{731, 734}

A\B retains elements in A that are not in B, giving {731, 734}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0014/)

Set operations · qf-finite-set-difference · candidate





## 65. Directional Finite Set Difference

Let A={741, 742, 744, 746} and B={742, 745, 746}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{741, 744}

A\B retains elements in A that are not in B, giving {741, 744}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0015/)

Set operations · qf-finite-set-difference · candidate





## 66. Directional Finite Set Difference

Let A={751, 752, 754, 756} and B={752, 755, 756}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{751, 754}

A\B retains elements in A that are not in B, giving {751, 754}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0016/)

Set operations · qf-finite-set-difference · candidate





## 67. Directional Finite Set Difference

Let A={761, 762, 764, 766} and B={762, 765, 766}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{761, 764}

A\B retains elements in A that are not in B, giving {761, 764}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0017/)

Set operations · qf-finite-set-difference · candidate





## 68. Directional Finite Set Difference

Let A={771, 772, 774, 776} and B={772, 775, 776}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{771, 774}

A\B retains elements in A that are not in B, giving {771, 774}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0018/)

Set operations · qf-finite-set-difference · candidate





## 69. Directional Finite Set Difference

Let A={781, 782, 784, 786} and B={782, 785, 786}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{781, 784}

A\B retains elements in A that are not in B, giving {781, 784}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0019/)

Set operations · qf-finite-set-difference · candidate





## 70. Directional Finite Set Difference

Let A={791, 792, 794, 796} and B={792, 795, 796}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{791, 794}

A\B retains elements in A that are not in B, giving {791, 794}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0020/)

Set operations · qf-finite-set-difference · candidate





## 71. Directional Finite Set Difference

Let A={801, 802, 804, 806} and B={802, 805, 806}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{801, 804}

A\B retains elements in A that are not in B, giving {801, 804}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0021/)

Set operations · qf-finite-set-difference · candidate





## 72. Directional Finite Set Difference

Let A={811, 812, 814, 816} and B={812, 815, 816}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{811, 814}

A\B retains elements in A that are not in B, giving {811, 814}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0022/)

Set operations · qf-finite-set-difference · candidate





## 73. Directional Finite Set Difference

Let A={821, 822, 824, 826} and B={822, 825, 826}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{821, 824}

A\B retains elements in A that are not in B, giving {821, 824}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0023/)

Set operations · qf-finite-set-difference · candidate





## 74. Directional Finite Set Difference

Let A={831, 832, 834, 836} and B={832, 835, 836}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{831, 834}

A\B retains elements in A that are not in B, giving {831, 834}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0024/)

Set operations · qf-finite-set-difference · candidate





## 75. Directional Finite Set Difference

Let A={841, 842, 844, 846} and B={842, 845, 846}. Find the directional difference A\B, listing each element once in increasing order.

View answer and explanation{841, 844}

A\B retains elements in A that are not in B, giving {841, 844}. Reversing the operands is a different operation.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-set-difference-0025/)

Set operations · qf-finite-set-difference · candidate





## 76. Relative Complement in an Explicit Universe

Let the explicit universe be U={901, 902, 903, 904, 905} and A={901, 903}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{902, 904, 905}

The universe is explicit and A⊆U. Removing A from U gives {902, 904, 905}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0001/)

Set operations · qf-finite-relative-complement · candidate





## 77. Relative Complement in an Explicit Universe

Let the explicit universe be U={911, 912, 913, 914, 915} and A={912, 914, 915}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{911, 913}

The universe is explicit and A⊆U. Removing A from U gives {911, 913}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0002/)

Set operations · qf-finite-relative-complement · candidate





## 78. Relative Complement in an Explicit Universe

Let the explicit universe be U={921, 922, 923, 924, 925} and A={921, 923}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{922, 924, 925}

The universe is explicit and A⊆U. Removing A from U gives {922, 924, 925}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0003/)

Set operations · qf-finite-relative-complement · candidate





## 79. Relative Complement in an Explicit Universe

Let the explicit universe be U={931, 932, 933, 934, 935} and A={932, 934, 935}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{931, 933}

The universe is explicit and A⊆U. Removing A from U gives {931, 933}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0004/)

Set operations · qf-finite-relative-complement · candidate





## 80. Relative Complement in an Explicit Universe

Let the explicit universe be U={941, 942, 943, 944, 945} and A={941, 943}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{942, 944, 945}

The universe is explicit and A⊆U. Removing A from U gives {942, 944, 945}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0005/)

Set operations · qf-finite-relative-complement · candidate





## 81. Relative Complement in an Explicit Universe

Let the explicit universe be U={951, 952, 953, 954, 955} and A={952, 954, 955}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{951, 953}

The universe is explicit and A⊆U. Removing A from U gives {951, 953}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0006/)

Set operations · qf-finite-relative-complement · candidate





## 82. Relative Complement in an Explicit Universe

Let the explicit universe be U={961, 962, 963, 964, 965} and A={961, 963}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{962, 964, 965}

The universe is explicit and A⊆U. Removing A from U gives {962, 964, 965}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0007/)

Set operations · qf-finite-relative-complement · candidate





## 83. Relative Complement in an Explicit Universe

Let the explicit universe be U={971, 972, 973, 974, 975} and A={972, 974, 975}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{971, 973}

The universe is explicit and A⊆U. Removing A from U gives {971, 973}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0008/)

Set operations · qf-finite-relative-complement · candidate





## 84. Relative Complement in an Explicit Universe

Let the explicit universe be U={981, 982, 983, 984, 985} and A={981, 983}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{982, 984, 985}

The universe is explicit and A⊆U. Removing A from U gives {982, 984, 985}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0009/)

Set operations · qf-finite-relative-complement · candidate





## 85. Relative Complement in an Explicit Universe

Let the explicit universe be U={991, 992, 993, 994, 995} and A={992, 994, 995}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{991, 993}

The universe is explicit and A⊆U. Removing A from U gives {991, 993}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0010/)

Set operations · qf-finite-relative-complement · candidate





## 86. Relative Complement in an Explicit Universe

Let the explicit universe be U={1001, 1002, 1003, 1004, 1005} and A={1001, 1003}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1002, 1004, 1005}

The universe is explicit and A⊆U. Removing A from U gives {1002, 1004, 1005}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0011/)

Set operations · qf-finite-relative-complement · candidate





## 87. Relative Complement in an Explicit Universe

Let the explicit universe be U={1011, 1012, 1013, 1014, 1015} and A={1012, 1014, 1015}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1011, 1013}

The universe is explicit and A⊆U. Removing A from U gives {1011, 1013}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0012/)

Set operations · qf-finite-relative-complement · candidate





## 88. Relative Complement in an Explicit Universe

Let the explicit universe be U={1021, 1022, 1023, 1024, 1025} and A={1021, 1023}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1022, 1024, 1025}

The universe is explicit and A⊆U. Removing A from U gives {1022, 1024, 1025}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0013/)

Set operations · qf-finite-relative-complement · candidate





## 89. Relative Complement in an Explicit Universe

Let the explicit universe be U={1031, 1032, 1033, 1034, 1035} and A={1032, 1034, 1035}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1031, 1033}

The universe is explicit and A⊆U. Removing A from U gives {1031, 1033}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0014/)

Set operations · qf-finite-relative-complement · candidate





## 90. Relative Complement in an Explicit Universe

Let the explicit universe be U={1041, 1042, 1043, 1044, 1045} and A={1041, 1043}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1042, 1044, 1045}

The universe is explicit and A⊆U. Removing A from U gives {1042, 1044, 1045}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0015/)

Set operations · qf-finite-relative-complement · candidate





## 91. Relative Complement in an Explicit Universe

Let the explicit universe be U={1051, 1052, 1053, 1054, 1055} and A={1052, 1054, 1055}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1051, 1053}

The universe is explicit and A⊆U. Removing A from U gives {1051, 1053}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0016/)

Set operations · qf-finite-relative-complement · candidate





## 92. Relative Complement in an Explicit Universe

Let the explicit universe be U={1061, 1062, 1063, 1064, 1065} and A={1061, 1063}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1062, 1064, 1065}

The universe is explicit and A⊆U. Removing A from U gives {1062, 1064, 1065}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0017/)

Set operations · qf-finite-relative-complement · candidate





## 93. Relative Complement in an Explicit Universe

Let the explicit universe be U={1071, 1072, 1073, 1074, 1075} and A={1072, 1074, 1075}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1071, 1073}

The universe is explicit and A⊆U. Removing A from U gives {1071, 1073}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0018/)

Set operations · qf-finite-relative-complement · candidate





## 94. Relative Complement in an Explicit Universe

Let the explicit universe be U={1081, 1082, 1083, 1084, 1085} and A={1081, 1083}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1082, 1084, 1085}

The universe is explicit and A⊆U. Removing A from U gives {1082, 1084, 1085}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0019/)

Set operations · qf-finite-relative-complement · candidate





## 95. Relative Complement in an Explicit Universe

Let the explicit universe be U={1091, 1092, 1093, 1094, 1095} and A={1092, 1094, 1095}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1091, 1093}

The universe is explicit and A⊆U. Removing A from U gives {1091, 1093}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0020/)

Set operations · qf-finite-relative-complement · candidate





## 96. Relative Complement in an Explicit Universe

Let the explicit universe be U={1101, 1102, 1103, 1104, 1105} and A={1101, 1103}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1102, 1104, 1105}

The universe is explicit and A⊆U. Removing A from U gives {1102, 1104, 1105}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0021/)

Set operations · qf-finite-relative-complement · candidate





## 97. Relative Complement in an Explicit Universe

Let the explicit universe be U={1111, 1112, 1113, 1114, 1115} and A={1112, 1114, 1115}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1111, 1113}

The universe is explicit and A⊆U. Removing A from U gives {1111, 1113}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0022/)

Set operations · qf-finite-relative-complement · candidate





## 98. Relative Complement in an Explicit Universe

Let the explicit universe be U={1121, 1122, 1123, 1124, 1125} and A={1121, 1123}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1122, 1124, 1125}

The universe is explicit and A⊆U. Removing A from U gives {1122, 1124, 1125}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0023/)

Set operations · qf-finite-relative-complement · candidate





## 99. Relative Complement in an Explicit Universe

Let the explicit universe be U={1131, 1132, 1133, 1134, 1135} and A={1132, 1134, 1135}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1131, 1133}

The universe is explicit and A⊆U. Removing A from U gives {1131, 1133}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0024/)

Set operations · qf-finite-relative-complement · candidate





## 100. Relative Complement in an Explicit Universe

Let the explicit universe be U={1141, 1142, 1143, 1144, 1145} and A={1141, 1143}⊆U. Find the relative complement U\A, listing each element once in increasing order.

View answer and explanation{1142, 1144, 1145}

The universe is explicit and A⊆U. Removing A from U gives {1142, 1144, 1145}.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260915-finite-relative-complement-0025/)

Set operations · qf-finite-relative-complement · candidate



[Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260915-finite-set-operations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260915-finite-set-operations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260915-finite-set-operations/validation-report.json)