50 CHAPTER 2 Sets 61. ∉ | ∈ x x N x 3 { and is odd} False; 3 is an element of the set. 62. { } ∈ Tokyo cities in the United States False; Tokyo is a city in Japan, not the United States. 63. { } ∈ … 9 1, 3, 5, 7, True 64. ∈ | x x 2 { is an odd natural number} False; 2 is an even natural number. In Exercises 65– 68, use the sets { } = A 2, 4, 6, 8 , = B { } 1, 3, 7, 9, 13, 21 , { } = C , and D {#, &, %, ,$}. = 65. Determine n A( ). 4 66. Determine n B( ). 6 67. Determine n C( ). 0 68. Determine n D( ). 5 In Exercises 69–74, determine whether the pairs of sets are equal, equivalent, both, or neither. 69. { } = A lion, tiger, monkey , { } = B tiger, monkey, lion Both 70. { } = A purple, green, yellow , { } = B q r s , , Equivalent 71. { } = A grapes, apples, oranges , { } = B grapes, peaches, apples, oranges Neither 72. A is the set of Siamese cats. B is the set of cats. Neither 73. A is the set of letters in the word bank. B is the set of letters in the word post. Equivalent 74. A is the set of states. B is the set of state capitals. Equivalent Problem Solving In Exercises 75–78, use the following table, which shows the number of downloads, in millions, for the most popular game apps downloaded during January through June 2022. Let the 10 game apps be the universal set. Use the list to determine each set in roster form. 75. The set of game apps in which the number of downloads was greater than 50 million. {Subway Surfers, Garena Free Fire} 76. The set of game apps in which the number of downloads was less than 40 million. {Tall Man Run, Race Master 3D, Candy Crush Saga, Fill The Fridge} 77. The set of game apps in which the number of downloads was greater than 90 million. { } or Ø 78. The set of game apps in which the number of downloads was between 38 million and 48 million. {Stumble Guys, Bridge Race, Ludo King, Roblox, Tall Man Run} In Exercises 79–82, use the following graph, created with StatCrunch, which shows the worldwide sales of the Apple iPhone, in millions of units, for the years 2015–2022. Let the 8 years be the universal set. Sales (millions of units) Apple iPhone Sales Worldwide 250 2015 231 212 217 218 197 298 2016 2017 2018 2019 Year 2020 2021 2022 200 150 100 50 0 300 187 242 Source: WallStreetZen.com Use the graph to determine each set in roster form. 79. The set of years in which Apple iPhone sales were less than 200 million units. { } 2019, 2020 80. The set of years in which Apple iPhone sales were greater than 200 million units. { } 2015, 2016, 2017, 2018, 2021, 2022 81. The set of years in which Apple iPhone unit sales decreased from the previous year. { } 2016, 2019 82. The set of years in which Apple iPhone sales were less than 175 million units. { }or Ø Game App Downloads (in millions) Subway Surfers 82 Garena Free Fire 75 Stumble Guys 46 Bridge Race 45 Ludo King 44 Roblox 41 Tall Man Run 39 Race Master 3D 37 Candy Crush Saga 36 Fill The Fridge 35 Source: SensorTower.com Michaelpuche/Shutterstock
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