1) Consider the universal set U = {1,2,3,4,5} and the sets A = {1,2,3} and B = {3,4,5}. Find the following: a) AUB = b) AnB = c) A - B = d) B - A = e) A° = f) AX B = 2) For sets A, B, and C, prove or disprove the following statements: a) If An B = A, then A ≤ B. b) AU (BNC) = (AUB) N (AUC). c) If A ≤ B and B ≤ C, then A ≤ C. - d) A (B-C) (A-B) - C e) AN (BUC) = (ANB) U (ANC)

Fig: 1