Q. 2 A4.8( 6 Votes )

# Let A = {1, 2, 4,

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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