Exercise 1. Let A-(ZE Z?-1 elements of these sets: 2). B-(2x-3ITE A} and C = {TE R?z-b where (a, b) E A x B). List the x ?) A and C c) B\C Exercise 2. Prove or disprove the following: Exercise 3. Give an English explanation to the meaning of the operation between two sets. Exercise 4. Let A, B and C be arbitrary sets. Prove or disprove the following: a) AnB-A iff AcB b) An B-@implies A?B Exercise 5. Let A- Find P(P(A)) Exercise 6. Prove that A-= U B using: a) A Venn diagram b) Without using a Venn Diagram Exercise 7. Let A, B and C be arbitrary sets. Show that (Au (BnA))n (CnD)U(AnB))-AuB Exercise 8. Prove or disprove that (A\ B)\C- A\ (B\C) Exercise 9. Prove that (An B) C = (A x C) n (B C), for any sets A, B and C