Set Operators: Unions, Intersections, Complements Exercises 5.7 1) If U1, 2, 3, 4, 5,6), A , 2, 4, 61. B-2,3, 5 1, and C 4, 6 1, list the members of each of the following: a) AUB b) ANB d) A'nc B. UC. g) (AUB) i (AUB)nc h (Bnc' j (A nc)u B' 2) If Ua, b, c, d. e . A (a, bl, Bde ). C a. c. e . and D b, c. d list the members of each of the following: a) AnB c) B' e) An D g) (A'nB)UD b) AUB d) B'nc f (A UD) h) (AUB)n D 3) Given that Uall employees of Nationwide], A all female employees of Nationwide. B all Nationwide employees between 21 and 30 years old, inclusive C all employees of the data processing department, D all Nationwide employees 21 years of age and older), and E al Nationwide employees 50 years of age and under]. Describe each of the following. Think of a list being printed in each case. b) AUB d) DnE f (DnE h) AnCNE j) (DnE'nC a) A e) E g) CUE 4) Determine whether each of the following statements is always true, always false, or sometimes true. a) IfA (1, 3, 4) and AnB b) If2 E (A B), then 2 E A c) AnB is a subset of A. d) AUB is a subset of B e) If A 3,4 and A UB (3), then 3 EB 3, 4,5), then 3 E B fA (1, 3, 4 and A UB [, 3, 4, 5), then 5 E B g) IfA ,3, 4) and A UB . 3, 4, 5), then 3 E (AnB). h) If A c B and 2 A, then 2E B 5-182 | P age