Question

. If A={-2,0,1,3,5}, B={-1,0,2,5,6} and C={-1,2,5,6,7}, then show that
A- (BUC) = (A - B) ∩ (A - C)

Answer 1

Answer:

A={-2,0,1,3,5}

B{-1,0,2,5,6}

C={-1,2,5,6,7}

B UC ={-1,0,2,5,6 ,7}

A - (B U C ) = {-2,0,1,3,5}-{-1,0,2,5,6 ,7}

= { -2 ,1,3} --------------------------1

=-2,0,1,3,5}- {-1,0,2,5,6}

= { -2 ,1,3}

A- C = {-2,0,1,3,5} -{-1,2,5,6,7}

= { -2, 1,3 }

(A - B) ∩ (A - C) = { -2, 1,3 } ---------2

From 1 and 2 it is verified