# 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.

100 results; page 1/4.

## Question 9801: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0051`; number: 9801
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0051/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0051.json)

## Question 9802: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0052`; number: 9802
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0052/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0052.json)

## Question 9803: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0053`; number: 9803
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0053/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0053.json)

## Question 9804: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0054`; number: 9804
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0054/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0054.json)

## Question 9805: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0055`; number: 9805
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0055/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0055.json)

## Question 9806: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0056`; number: 9806
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0056/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0056.json)

## Question 9807: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0057`; number: 9807
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0057/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0057.json)

## Question 9808: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0058`; number: 9808
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0058/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0058.json)

## Question 9809: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0059`; number: 9809
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0059/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0059.json)

## Question 9810: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0060`; number: 9810
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0060/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0060.json)

## Question 9811: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0061`; number: 9811
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0061/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0061.json)

## Question 9812: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0062`; number: 9812
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0062/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0062.json)

## Question 9813: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0063`; number: 9813
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0063/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0063.json)

## Question 9814: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0064`; number: 9814
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0064/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0064.json)

## Question 9815: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0065`; number: 9815
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0065/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0065.json)

## Question 9816: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0066`; number: 9816
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0066/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0066.json)

## Question 9817: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0067`; number: 9817
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0067/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0067.json)

## Question 9818: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0068`; number: 9818
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0068/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0068.json)

## Question 9819: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0069`; number: 9819
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0069/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0069.json)

## Question 9820: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0070`; number: 9820
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0070/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0070.json)

## Question 9821: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0071`; number: 9821
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0071/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0071.json)

## Question 9822: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0072`; number: 9822
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0072/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0072.json)

## Question 9823: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0073`; number: 9823
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0073/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0073.json)

## Question 9824: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0074`; number: 9824
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0074/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0074.json)

## Question 9825: Complete Open, Closed, and Clopen Families

- ID: `q-20261013-advance-20261019-r01-open-closed-set-0075`; number: 9825
- Processing: second_context_reviewed
- MKO: [mko-open-closed-set](/en/mko/mko-open-closed-set/)
- Family: [qf-ext19-openclosed-clopen-inventory](/en/explore/?family=qf-ext19-openclosed-clopen-inventory)
- Batch: [batch-20261013-advance-20261019-r01-open-closed-set-foundations](/en/explore/?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0075/) / [Markdown](/en/questions/q-20261013-advance-20261019-r01-open-closed-set-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261019-r01-open-closed-set-0075.json)

[Next](/en/explore/index.md?batch=batch-20261013-advance-20261019-r01-open-closed-set-foundations&page=2)
