Part I: Sets 1. Let A, B, and C be sets such that A n B n C # . Draw a Venn diagram for each of the following combinations of A, B, and C. b. (AnB)U (AnC) c. (AnB) U (AnC) d. (A -B) u (A - C)U(B- C) 2. Let A and B be sets. What can we conclude about the relationship between A and B if we know that: a. Au B= A. b, A-B= A. Justify you answers.Your conclusion should be the one that gives the most information available about A and B. 3. Find U 1Ai and nA where: a. Ai i,i 1,i 2,.. for every positive integer i. b. Ai = {0, i} for every positive integer i. 4. Let A = P(0), B = P(a, b), and C = P(a, c) where P(s) is the power set of S. Find: a. A, B, and C b. AnB d. (B - C) n A