2.3 Venn Diagrams, Set Operations, and Data Representation 69 72. Let U represent the set of animals in U.S. zoos. Let A represent the set of animals in the San Diego Zoo. Describe ′A. In Exercises 73–78, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words. 73. ′A The set of cities in the United States that do not have a professional sports team 74. ′B The set of cities in the United States that do not have a symphony 75. A B < The set of cities in the United States that have a professional sports team or a symphony 76. A B > The set of cities in the United States that have a professional sports team and a symphony 77. ′ A B > The set of cities in the United States that have a professional sports team and do not have a symphony 78. ′ A B < The set of cities in the United States that have a professional sports team or do not have a symphony In Exercises 79–84, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the following sets. 79. A C< The set of furniture stores that sell mattresses or leather furniture 80. A B > The set of furniture stores that sell mattresses and outdoor furniture 81. ′B C> The set of furniture stores that do not sell outdoor furniture and sell leather furniture 82. A B C > > The set of furniture stores that sell mattresses, outdoor furniture, and leather furniture 83. A B C < < The set of furniture stores that sell mattresses or outdoor furniture or leather furniture 84. ′ ′ A C< The set of furniture stores that do not sell mattresses or do not sell leather furniture 85. WNBA Points Leaders The data shown in the following table come from WNBA.com. The table shows, as of May 2023, the Women’s National Basketball Association points leaders. The table shows the 10 players with highest number of points scored and the number of games played. Let the players in the table represent the universal set. m Diana Taurasi The set of animals in U.S. zoos that are not in the San Diego Zoo WNBA Points Leaders (as of May 2023) Player Points Scored Games Played Diana L. Taurasi 9693 503 Tina M. Thompson 7488 496 Tamika D. Catchings 7380 457 Tina A. Charles 7115 391 Candice J. Dupree 6895 494 Cappie M. Pondexter 6811 416 Suzanne B. Bird 6803 580 Katie D. Smith 6452 482 Sylvia S. Fowles 6415 408 Candace N. Parker 6412 392 Let = A the set of players with at least 7000 points scored. Let = B the set of players with at least 450 games played. Construct a Venn diagram illustrating sets U A, , and B. Use the players initials in the Venn diagram. * 86. NFL Passing Touchdown Leaders The data shown in the following table come from NFL.com. The table shows, as of June 2023, the National Football League passing touchdown leaders. The table shows the 10 players with the highest number of passing touchdowns and the number of career passing yards. Let the players in the table represent the universal set. NFL Passing Touchdown Leaders (as of June 2023) Player Passing Touchdowns Passing Yards Tom Brady 649 89,214 Drew Brees 571 80,358 Peyton Manning 539 71,940 Brett Favre 508 71,838 Aaron Rodgers 475 59,055 Philip Rivers 421 63,440 Dan Marino 420 61,361 Ben Roethlisberger 418 64,088 Matt Ryan 381 62,792 Eli Manning 366 57,023 Let =A the set of players with at least 450 passing touchdowns. Let = B the set of players with at least 60,000 passing yards. Construct a Venn diagram illustrating sets U A, , and B. Use the players initials in the Venn diagram. * 87. Cryptocurrencies In this exercise, we use data from CoinMarketCap.com to form a universal set, U, that contains the top 10 cryptocurrencies, based on June 2023 value. Alexander and Benjamin are financial consultants who specialize in cryptocurrencies. Set A and set B are sets that contain the top 5 cryptocurrencies recommended *See Instructor Answer Appendix Keeton Gale/Shutterstock
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