Q. 4 E3.9( 9 Votes )

For any two sets

Answer :

Let x ϵ A


Then either x ϵ (A–B) or x ϵ (A B)


x ϵ (A–B) (A B)


A (A – B) (A B)….(1)


Consverly,


Let x ϵ (A–B) (A B)


x ϵ (A–B) or x ϵ (A B)


x ϵ A and x B or x ϵ B


x ϵ A


(A–B) (A B) A……….(2)


From (1) and (2), We get


(A–B) (A B) =A


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