Q. 133.9( 10 Votes )

Determine whether

Answer :

Given: There are two sets A and B


To check: (A – B) (A B) = A is true or false


Take L.H.S


(A – B) (A B)


= (A B’) (A B) { A – B = A B’}


= A (B’ B)


{ Distributive property of set:


(A B) (A C) = A (B C)}


= A U


= A


= R.H.S


Hence, the given statement is true


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