(A ∩ B)^c = ______?
- A^c B^c
- (A U B)^c
- A ∩ B
- None of these
Explanation
The expression you provided is (A ∩ B)^c. This is an application of De Morgan's Laws in set theory.
De Morgan's Laws state:
(A ∩ B)^c = A^c U B^c (The complement of the intersection is the union of the complements).
(A U B)^c = A^c ∩ B^c (The complement of the union is the intersection of the complements).
Therefore, the complement of the intersection of sets A and B is equal to the union of the complement of A and the complement of B.
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