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Question

Question: If A and B are any two sets, then \(A \cup ( A \cap B )\) is equal to...

If A and B are any two sets, then A(AB)A \cup ( A \cap B ) is equal to

A

A

B

B

C

AcA ^ { c }

D

BcB ^ { c }

Answer

A

Explanation

Solution

ABAA \cap B \subseteq A . Hence A(AB)=AA \cup ( A \cap B ) = A.