Chapter 4.2 Venn diagrams and Cardinal Numbers PDF

Preview

Summary

Rebecca McCleary was the teacher. These are notes I took in class. I passed the class with an A....

Description

4.2  Venn Diagrams and Cardinal numbers M120

1. Construct a Venn diagram illustrating the following sets: A = {1, 3, 6, 10} B = {4, 7, 9, 10} C = {3, 4, 5, 8, 9, 10} U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

2. We surveyed 30 students. 10 students like both math and science. 4 students only like science. 6 students like math but not science. Create a Venn diagram using this data.

4.2  Venn Diagrams and Cardinal numbers M120

3. Among the U.S. presidents in the White House, 26 had dogs, 11 had cats, and 9 had h dogs and cats. How many U.S. presidents had dogs r cats in the White House?

4. Among 150 people surveyed, 115 had seen Titanic, and 65 had seen Forrest Gump, and 42 had seen . How many people had not seen either?

4.2  Venn Diagrams and Cardinal numbers M120

5. A winter resort took a poll of its enjoyed. The results were as follows:

rs to see which winter activities people

178 people liked to ski, 154 people liked to snowboard, and 49 people liked to ski and snowboard. How many people in the poll liked to ski or snowboard?

4.2  Venn Diagrams and Cardinal numbers M120

6. In a survey on musical tastes, respondents were asked: Do you listen to classical music? Do you listen to jazz? The survey results are summarized in the figure below. Use the diagram to answer the following questions.

a. How many respondents listened to classical music? b. How many respondents listened to jazz? c. How many respondents listened to both classical music and jazz? d. How many respondents listened to classical music or jazz? e. How many respondents listened to classical music but not jazz? f. How many respondents listened to jazz but not classical music? g. How many respondents listened to neither classical music nor jazz? h. How many people were surveyed?

4.2  Venn Diagrams and Cardinal numbers M120

7. A group of UNR students were asked if they had been to a basketball game or a football game this year. The Venn diagram below summarizes the results.

a. How many of the students interviewed had been to a football game? b. How many students went to exactly one of the two sports? c. How many students went to a football game or a basketball game? d. How many students were surveyed?

4.2  Venn Diagrams and Cardinal numbers M120

8. A group of students was surveyed to determine which of three types of foods he liked Some sdens liked more han one pe of food and some didn like any of the three types of food.

a. Explain what each number in the diagram represents. b. How many liked hamburgers? c. How many students liked exactly one of the three types? d. How many students liked hamburgers or pizza?

4.2  Venn Diagrams and Cardinal numbers M120...