Q. 404.1( 7 Votes )

If A and B are two sets, then A (A B) equals
A. A

B. B

C. ϕ

D. A B

Answer :

Given: A and B are two given sets


To find: A (A B)


Let x A (A B)


x A and x (A B)


x A and (x A or x B)


(x A and x A) or (x A and x B)


x A or x A B


x A


Hence, A (A B) = A

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RS Aggarwal - Mathematics