84 CHAPTER 2 Sets 2. Pandemic Teaching Data from a survey of 130 mathematics teachers conducted by the Florida Two-Year College Mathematics Association (FTYCMA) during the COVID-19 pandemic, showed that 74 conducted classes face to face. 70 conducted classes online. 41 conducted classes both face to face and online. Of the teachers surveyed, a) how many only conducted classes face to face? 33 b) how many only conducted classes online? 29 c) how many did not conduct classes face to face and did not conduct classes online? 27 3. Real Estate The Greens are moving to Omaha, Nebraska. Their real estate agent located 77 houses listed for sale in the Omaha area in their price range. Of these houses listed for sale, 47 had a finished basement. 52 had a three-car garage. 35 had a finished basement and a three-car garage. How many had a) a finished basement but not a three-car garage? 12 b) a three-car garage but not a finished basement? 17 c) either a finished basement or a three-car garage? 64 4. Racing Fleet Foot Racing interviewed 150 long-distance runners to determine the type of races in which they participated. The following information was determined. 102 participated in a marathon. 93 participated in a triathlon. 55 participated in both a marathon and a triathlon. How many a) participated in only a marathon? 47 b) participated in only a triathlon? 38 c) participated in either a marathon or a triathlon? 140 d) had not participated in either a marathon or a triathlon? 10 5. Social Media A survey of 108 high school students determined whether they used Instagram, Snapchat, or Facebook. The following information was determined. 68 used Instagram. 58 used Snapchat. 75 used Facebook. 34 used Instagram and Snapchat. 38 used Snapchat and Facebook. 45 used Instagram and Facebook. 22 used all three. How many of the students surveyed used a) only Instagram? 11 b) Instagram and Snapchat, but not Facebook? 12 c) Instagram or Snapchat? 92 d) Instagram or Snapchat, but not Facebook? 31 e) exactly two of the social media? 51 6. Cultural Activities Thirty-three U.S. cities were researched to determine whether they had a professional sports team, a symphony, or a children’s museum. The following information was determined. 16 had a professional sports team. 17 had a symphony. 15 had a children’s museum. 11 had a professional sports team and a symphony. 7 had a professional sports team and a children’s museum. 9 had a symphony and children’s museum. 5 had all three activities. How many of the cities surveyed had a) only a professional sports team? 3 b) a professional sports team and a symphony, but not a children’s museum? 6 c) a professional sports team or a symphony? 22 d) a professional sports team or a symphony, but not a children’s museum? 11 e) exactly two of the activities? 12 7. Movies A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type of movies customers liked. The following information was determined. 196 liked dramas. 153 liked comedies. 88 liked science fiction. 59 liked dramas and comedies. 37 liked dramas and science fiction. 32 liked comedies and science fiction. 21 liked all three types of movies. Stokkete/Shutterstock
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