Answer each question: 1. [4 pts] Let U = {a,b, c, d, e, f}, A = {a,b,c,d}, and B = {b, e, d}. Find (AUB)'.(An B)'. A'U B', and A' B'. Show your steps. 2. [2 pts] State both of DeMorgan's Laws for Sets. Are the results of item 1 consistent with DeMorgan's Laws for Sets? Explain. 3. [2 pts] State both of DeMorgan's Laws for Logic. Explain, in your own words, how these laws correspond to DeMorgan's Laws for Sets.