Q. 4 D3.6( 7 Votes )

# For any two sets

Let x ϵ A (B –A) x ϵ A or x ϵ (B – A)

x ϵ A or x ϵ B and x A

x ϵ B

x ϵ (A B) [ B (A B)]

This is true for all x ϵ A (B–A)

A(B–A)(AB)……(1)

Conversely,

Let x ϵ (A B) x ϵ A or x ϵ B

x ϵ A or x ϵ (B–A) [ B (A B)]

x ϵ A (B–A)

(AB) A(B–A)……(2)

From 1 and 2 we get…

A (B – A) = A B

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