# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 6826: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0051`; number: 6826
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0051/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0051.json)

## Question 6827: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0052`; number: 6827
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0052/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0052.json)

## Question 6828: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0053`; number: 6828
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0053/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0053.json)

## Question 6829: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0054`; number: 6829
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0054/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0054.json)

## Question 6830: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0055`; number: 6830
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0055/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0055.json)

## Question 6831: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0056`; number: 6831
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0056/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0056.json)

## Question 6832: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0057`; number: 6832
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0057/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0057.json)

## Question 6833: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0058`; number: 6833
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0058/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0058.json)

## Question 6834: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0059`; number: 6834
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0059/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0059.json)

## Question 6835: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0060`; number: 6835
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0060/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0060.json)

## Question 6836: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0061`; number: 6836
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0061/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0061.json)

## Question 6837: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0062`; number: 6837
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0062/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0062.json)

## Question 6838: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0063`; number: 6838
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0063/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0063.json)

## Question 6839: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0064`; number: 6839
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0064/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0064.json)

## Question 6840: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0065`; number: 6840
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0065/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0065.json)

## Question 6841: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0066`; number: 6841
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0066/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0066.json)

## Question 6842: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0067`; number: 6842
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0067/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0067.json)

## Question 6843: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0068`; number: 6843
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0068/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0068.json)

## Question 6844: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0069`; number: 6844
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0069/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0069.json)

## Question 6845: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0070`; number: 6845
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0070/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0070.json)

## Question 6846: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0071`; number: 6846
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0071/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0071.json)

## Question 6847: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0072`; number: 6847
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0072/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0072.json)

## Question 6848: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0073`; number: 6848
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0073/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0073.json)

## Question 6849: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0074`; number: 6849
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0074/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0074.json)

## Question 6850: Closed Interval Intersection and Separation Gap

- ID: `q-20261010-advance-20261014-r02-real-number-0075`; number: 6850
- Processing: second_context_reviewed
- MKO: [mko-real-number](/en/mko/mko-real-number/)
- Family: [qf-density14-real-overlap-closed-intervals](/en/explore/?family=qf-density14-real-overlap-closed-intervals)
- Batch: [batch-20261010-advance-20261014-r02-real-number-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r02-real-number-foundations)
- [Derivation](/en/questions/q-20261010-advance-20261014-r02-real-number-0075/) / [Markdown](/en/questions/q-20261010-advance-20261014-r02-real-number-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r02-real-number-0075.json)

