No A are B. Some C are A. What can be concluded about Some C and not B?

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Multiple Choice

No A are B. Some C are A. What can be concluded about Some C and not B?

When two sets are disjoint, nothing in one set can be in the other. Here, no A is B. If some C are A, those particular C lie in A, and since A and B don’t overlap, those C cannot be B. Therefore, some C are not B. This doesn’t tell us about all C—some could be B if they’re outside A, and we can’t conclude that no C is B or that all C are B.

When two sets are disjoint, nothing in one set can be in the other. Here, no A is B. If some C are A, those particular C lie in A, and since A and B don’t overlap, those C cannot be B. Therefore, some C are not B. This doesn’t tell us about all C—some could be B if they’re outside A, and we can’t conclude that no C is B or that all C are B.

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