Exercise 2 (10 points) Let A = {1,2} and B = {2, 3}. Dene 73(AB), 'F'(A), and 'P(AUB), where 73(0) indicates the power set of the set 6'. Exercise 3 (40 points: 10 points for each. part) Let A, B, and 0 be three sets in a universe u. Show the following identities: a (AUB)n(AB) (A B)U(B A) b (AB)U(CB) (AUG) 3 (AB) (AO) =AnOB ( _ ) ) C) d) A B)C=(AC)(BC) Exercise 4 (20 points: 10 points for each part) 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 30(303 =A. b) ifAUB=B, then AnB=A