ANSWERS A-3 Chapter 2 SECTION 2.1, PAGE 48 1. Set 3. Description, roster form, set-builder notation 5. Infinite 7. Equal 9. Empty or null 11. Not well defined 13. Well defined 15. Well defined 17. Finite 19. Infinite 21. Infinite 23. {Hawaii} 25. {1, 2, 3, 4, , 99} … 27. {10, 11, 12, 13, }… 29. {5, 6, 7, 8, , 100} … 31. E {14, 15, 16, 17, , 84} = … 33. {10} 35. {} or ∅ 37. {} or ∅ 39. B x x N x { and 6 15} = | ∈ < < or B x x N x { and 7 14} = | ∈ ≤ ≤ 41. C x x N x { and is a multiple of 3} = | ∈ 43. x x N x { and 100 400} | ∈ ≤ ≤ 45. E x x N x { and is odd} = | ∈ 47. C x x { is February} = | 49. Set A is the set of natural numbers less than or equal to 7. 51. Set V is the set of vowels in the English alphabet. 53. Set T is the set of species of trees. 55. Set S is the set of seasons. 57. False; e{ } is a set, and not an element of the set. 59. False; h is not an element of the set. 61. False; 3 is an element of the set. 63. True 65. 4 67. 0 69. Both 71. Neither 73. Equivalent 75. {Subway Surfers, Garena Free Fire} 77. {} or ∅ 79. {2019, 2020} 81. {2016, 2019} 83. {CVS, Lowe's, Albertsons} 85. {Costco, Home Depot, Kroger, Walgreens, Target} 87. {2022, 2023} 89. {} or ∅ 91. Cardinal 93. Ordinal 95. a) Answers will vary. b) The set of all the people in the world SECTION 2.2, PAGE 56 1. Subset 3. 2n 5. True 7. False; apple is not in the second set. 9. True 11. False; no set is a proper subset of itself. 13. True 15. False; {Rouge} is a set, not an element. 17. True 19. True 21. False; the set { }∅ contains the element .∅ 23. False; the set {0} contains the element 0. 25. False; 0 is a number and { } is a set. 27. B A B A , # , 29. B A B A , # , 31. none 33. A B A B B A , , = # # 35. {} 37. {}, {cow}, {horse}, {cow, horse} 39. a) b) a b c d {, , , } 41. False 43. True 45. True 47. True 49. True 51. True 53. 2 , 4 or 16 55. 2 ,7 or 128 57. 2 1, or 127 7 − 59. E F = 61. 1 62. Yes 63. Yes 64. No abcdabacadbcbd cd abc abd acd bcd abcd { },{},{},{},{ },{ , },{ , },{ , },{ , },{ , }, {, },{, , },{, , },{, , },{, , },{, , , } SECTION 2.3, PAGE 67 1. Complement 3. Intersection 5. Cartesian 7. m n × 9. a) A {2, 4, 6} ′ = b) U A 1, 3, 5 2, 4, 6 A9 11. U A 1 2 4 7 6 8 3 5 B 13. U A a e h c d b j f g i k B 15. {2, 5} 17. {8} 19. {} 21. {8} 23. {2, 3, 5, 6, 8} 25. a i { , } 27. a b e h i j k {, , , , , , } 29. a b c d f g i j {,,, ,,,,} 31. abcdef ghijk { , , , , , , , , , , }, or U 33. c d e g h k {, , , , , } 35. a b e g h {, , , , } 37. b e {, } 39. a b c e f g h {, , , , , , } 41. d i j { , , } 43. a g h {, , } 45. {1, 2, 7, 8, 9} 47. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} 49. {2, 3, 4, 5, 6, 9, 10, 11} 51. {3, 5, 6} 53. {4, 10, 11} 55. a b a b a b {(1, ), (1, ), (2, ), (2, ), (3, ), (3, )} 57. No. The ordered pairs are not the same. For example, a a (1, ) ( ,1). ≠ 59. 6 61. {} 63. {7, 9} 65. {2, 4} 67. {2, 4} 69. {1, 2, 3, 4, 5}, or C 71. The set of retail stores in the United States that do not sell children’s clothing 73. The set of cities in the United States that do not have a professional sports team 75. The set of cities in the United States that have a professional sports team or a symphony 77. The set of cities in the United States that have a professional sports team and do not have a symphony 79. The set of furniture stores that sell mattresses or leather furniture 81. The set of furniture stores that do not sell outdoor furniture and sell leather furniture 83. The set of furniture stores that sell mattresses or outdoor furniture or leather furniture 85. U A B TAC DLT CJD CMP TMT SBB SSF TDC KDS CNP
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