Question

# If X and Y are two sets and X′ denotes the complement of X, then X∩(X∪Y)′ is equal to  ϕ X Y X∩Y

Solution

## The correct option is A ϕ X∩(X∪Y)′=X∩(X′∩Y′)            [∵(A∪B)′=A′∩B′]=(X∩X′)∩Y′=ϕ∩Y′=ϕ                           [∵ϕ∩A=ϕ]

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