Section 2.1 (Sets) 1. Let A : {a, b), B-(1,2), c-(x, y, z} Find the following Cartesian Products: a) AxB b) Ax Bx C 2. Using the set builder notation, express integers greater than 25. 3. Suppose A (a, b, c), a) find the power set of A b) mark the following statement TRUE or FALSE a) (b, c} EPA) c) 10)P (A) e) a, c E A 2.2 (Set Operations) 5. Let U-(0, 1,2, 3, 4,5, 6,7.8,9,10, A- (3,5,6), B- (1,3, 6, 7,9). Perform the following set operations and for each one provide the Venn diagram: a) AUB b) An B d) A-B e) B-A 6. Prove that A n (BUC)-(AnB)U (ANn C) by giving a proof using logical equivalence Section 2.3 (Functions): Let sets:As {a, b, c)and Bs(1, 2, 3)and fta)-3,f(b)-1 ,Mc-2. Find: a) The domain of f b) The codomain of f c) The image of a, b &c d) The preimages of 1 and 3 8. For a -c, determine whether function f A B is a one-to-one or onto function, or both (bijective/one-to-one correspondence). Justify your