A-6 ANSWERS 27. {3, 7} 28. 1, 2, 3, 4, 5, 6, 7, 8 { } 29. {9, 10} 30. {1, 2, 4, 6, 7, 8, 10} 31. {1, 5} 32. {1, 7} 33. {(1, 1), (1, 7), (1, 10), (3, 1), (3, 7), (3, 10), (5, 1), (5, 7), (5, 10), (7, 1), (7, 7), (7, 10)} 34. {(3, 1), (3, 3), (3, 5), (3, 7), (7, 1), (7, 3), (7, 5), (7, 7), (9, 1), (9, 3), (9, 5), (9, 7), (10, 1), (10, 3), (10, 5), (10, 7)} 35. 16 36. 15 37. U A B Puma Tiger Panther Jaguar Cheetah Leopard C Lion Lynx 38. b c d e f h k l {,, ,,,,,} 39. e k {, } 40. abcdef ghkl {,,, ,,,,,,} 41. f { } 42. c e f {, , } 43. d f l { , , } 44. True 45. True 46. II 47. III 48. I 49. IV 50. IV 51. II 52. II 53. $450 54. U 32 27 11 7 22 10 17 5 Costco Sam’s Club BJ’s a) 131 b) 32 c) 10 d) 65 55. U 26 31 29 68 132 71 14 125 iPad Laptop Gaming System a) 31 b) 74 c) 71 d) 185 e) 328 56. n n 2, 4, 6, 8, 10, , 2 , 4, 6, 8, 10, 12, , 2 2, { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … + … 57. n n 3, 5, 7, 9, 11, , 2 1, 5, 7, 9, 11, 13, , 2 3, { } { } … + … ↓ ↓ ↓ ↓ ↓ ↓ … + … 58. n n 1, 2, 3, 4, 5, , , 5, 8, 11, 14, 17, , 3 2, { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … + … 17. n n 1, 2, 3, 4, 5, , , 2, 5, 8, 11, 14, , 3 1, { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … − … 19. n n 1, 2, 3, 4, 5, , , 1 3 , 1 6 , 1 9 , 1 12 , 1 15 , , 1 3 , { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … … 21. n n 1, 2, 3, 4, 5, , , 1 3 , 1 4 , 1 5 , 1 6 , 1 7 , , 1 2 , { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … + … 23. n n 1,2, 3,4, 5, , , 1, 4, 9, 16, 25, , , 2 { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … … 25. n 1,2, 3, 4, 5, , , 3, 9, 27, 81, 243, , 3 , n { } { } … … ↓ ↓ ↓ ↓ ↓ ↓ … … 27. = 28. = 29. = 30. = 31. = 32. a) Answers will vary. b) No REVIEW EXERCISES, PAGE 92 1. True 2. False; the word best makes the statement not well-defined. 3. True 4. False; no set is a proper subset of itself. 5. False; the elements 6, 12, 18, 24, … are members of both sets. 6. True 7. False; the sets do not contain exactly the same elements. 8. True 9. True 10. True 11. True 12. True 13. True 14. True 15. A {7, 9, 11, 13, 15} = 16. {Colorado, Nebraska, Missouri, Oklahoma} 17. C {1, 2, 3, 4, ,174} … = 18. D {9, 10, 11, 12, , 80} … = 19. A x x N x { and 50 150} = | ∈ < < or A x x N x { and 49 151} = | ∈ ≤ ≤ 20. B x x N x { and 42} = | ∈ > 21. C x x N x { and 7} = | ∈ < 22. D x x N x { and 27 51} = | ∈ ≤ ≤ 23. Set A is the set of capital letters in the English alphabet from E through M, inclusive. 24. Set B is the set of U.S. coins with a value of less than a dollar. 25. Set C is the set of the first three lowercase letters in the English alphabet. 26. Set D is the set of numbers greater than or equal to 3 and less than 9.
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