Q. 2 A4.8( 6 Votes )

Let A = {1, 2, 4,

Answer :

L.H.S =


(B C) = {x:x ϵ B and x ϵ C}


= {5, 6}


A (B C) = {x: x ϵ A or x ϵ (B C) }


= {1, 2, 4, 5, 6}.


R.H.S =


(A B) = {x: x ϵ A or x ϵ B }


= {1, 2, 4, 5, 6}.


(A C) = {x: x ϵ A or x ϵ C }


= {1, 2, 4, 5, 6, 7}.


(A B) (A C) = {x:x ϵ (A B) and x ϵ (A C) }.


= {1, 2, 4, 5, 6}.


Hence Verified.


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