Let A, and B be two sets in universe U. Using set identities ( no truth table or membership table!), show the following implications:

Extra Credit ( 5 points) Let A, B, and C be three sets in a. universe u. Using set identities (no truth table or membership tablel), Show the following identity, (AUB)(BUC')(0UA) = (AB)U(BC')U(CA) Let A, and B be two sets in a universe U. Using set identities (no truth table or membership tablel), show the following implications: a) ifAB=A, then B(BZ) =A. b) ifAUB=B, then AnB=A