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Question

If A and B are two sets, then A ∩ (A ∪ B) equals
(a) A
(b) B
(c) ϕ
(d) A ∩ B

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Solution

A ∩ (A ⋃ B)
= (A ∩ A) ⋃ (A ∩ B)
= A ⋃ (A ∩ B)
A ∩ (A ⋃ B) = A
(since A ∩ B ≤ A)


Hence, the correct answer is option A.

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