Q. 14 A3.8( 10 Votes )

# Show that for any

Answer :

We know that (A B) A and (A – B) A

(A B) (A – B) A….(1)

Let and x ϵ (A B) (A – B)

x ϵ (A B) and x ϵ (A–B)

x ϵ A and x ϵ B and x ϵ A and x B

x ϵ A and x ϵ A [ x ϵ B and x B are not possible simultaneously]

x ϵ A

(A B) (A – B) A…(2)

From (1) and (2), we get

A = (A B) (A – B)

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