2 Lab 2.1 Set Builder Prove that (A\B) UB) = AUB: a) Use set builder notation and logical equivalences. b) Use a membership table 2.2 Sets Let A = {1, 2, 3}, B = {a,b}. and C = {3,4,5,6} Answer the following. a) Give P(B) b) Give A x B x A c) Give two unique partitions for C d) Give AOC 2.3 Set Proof Let A = {x Z : Skezx = 2k} and B = {x Z : 3kezx = 4k}. Prove that B C A. Recall that c is the proper subset