Q. 133.9( 10 Votes )

Determine whether

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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