Question

prove that (A U B)' = A' U B'
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Answer 1

The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements. ... (i) (A U B)' = A' ∩ B' (which is a De Morgan's law of union). (ii) (A ∩ B)' = A' U B' (which is a De Morgan's law of intersection).