Let U be a universal set and A and B be subsets of U. Which of the following is TRUE according to DeMorgan’s Law?
- (𝐴 ∪ 𝐵)′ = 𝐴′ ∩ 𝐵′
- (𝐴 ∪ 𝐵)′ = 𝐴′ ∪𝐵′
- (𝐴 ∩ 𝐵)′ = 𝐴′ ∩ 𝐵′
- None of these
Explanation
According to DeMorgan's Law:
(𝐴 ∪ 𝐵)′ = 𝐴′ ∩ 𝐵′
This states that the complement of the union of two sets is equal to the intersection of their complements.
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