Question

Which of the following statement regarding sets is false?

(a) A ∩ A = A

(b) A U A = A

(c) A – (B ∩ C) = (A – B) U (A –C)

(d) (A U B)’ = A’ U B’

This question was addressed to me during a job interview.

Query is from Algebraic Laws on Sets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (d) (A U B)’ = A’ U B’

The explanation is: (A U B)’ = A’ ∩ B’.