Problem 1. Which of the following statements about multisets are true, which are false? (a) {1, 1 } u {1, 1, 1} = {1, 1, 1, 1, 1}. [1 point] (b) {1, 1} u {1, 1, 1} = {1} [1 point] (c) {1, 1}n {1, 1, 1} = {1, 1} [1 point] (d) {1, 1}n {1, 1,1} = {1} [1 point] (e) {1, 1, 1} - {1, 1} = {1} [1 point] (f) (1, 1, 1} + {1} = {1, 1,1} [1 point] Problem 2. Prove or disprove that for all sets A, B, and C, we have (a) A x (BUC) = (A x B) U(A xC) [3 points] (b) A x (B - C) = (A x B) - (A x C) [3 points] 3-1 3-2 Assignment 3: Chapter 2 (c) A x (BUC) = Ax (BUC) [3 points]