Question

if A={-2,0,1,3,5},B={-1,0,2,5,6}C={-1,2,5,6,7} find A-(BUC) = (A-B) INTERSECTION (A-C)

Answer 1

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

Answer 2

Answer:

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

A - (BUC) = (A-B) ⋂ (A-C).