Question

If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11,12,13,14} A Π (B - C) = (A Π B) - (A Π C​

Answer 1

$\underline{\underline{\huge{\pink{\tt{\textbf Answer :-}}}}}$

Given:-

A={1,2,3,4,5}

B={4,5,6,7,8}

C={7,8,9,10,11}

D={10,11,12,13,14}

To prove:-

A∩(B-C)=(A∩B)-(A∩C)

L.H.S.

B-C

{4,5,6}

A∩(B-C)

{4,5}

R.H.S.

A∩B

{4,5}

A∩C

∅

LHS=RHS