Q. 14 B4.2( 5 Votes )

# Show that for any

Let x ϵ A (B – A)

x ϵ A or x ϵ (B–A)

X ϵ A or x ϵ B or x A

x ϵ A or x ϵ B

x ϵ (A B)

A (B – A) (A B)…….(1)

Let and x ϵ (A B)

x ϵ A or x ϵ B

x ϵ A or x ϵ B and x A

x ϵ A or x ϵ B–A

x ϵ A (B–A)

(A B) A (B – A)…….(2)

From (1) and(2), we get

A (B – A) = A B.

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