Answer:Foundations of Math 12
3.2 Exploring Relationships between Sets
Example #1: In an Alberta school, there are 65 Grade 12 students. Of these students, 23 play
volleyball and 26 play basketball. There are 31 students who do not play either sport. The
following Venn diagram represents the sets of students. Complete the Venn Diagram by
recording the number of students in each section.
How many students play:
Volleyball only? ________ Both Volleyball and Basketball? ________
Basketball only? ________ Neither sport? ________
Reflect: Consider the set of students who play volleyball and the set of students who play
basketball. Are these two sets disjoint? Explain how you know.
Example #2: Each member of a sports club plays at least one of soccer, rugby, or tennis. The
following information is known. 43 members play tennis, 11 play tennis and rugby, 7 play
tennis and soccer, 6 play soccer and rugby, 84 play rugby or tennis, 68 play soccer or rugby, and
4 play all three sports.
a) Display the information in a Venn diagram.
b) How many members does the club have?
Step-by-step explanation:
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:Foundations of Math 12
3.2 Exploring Relationships between Sets
Example #1: In an Alberta school, there are 65 Grade 12 students. Of these students, 23 play
volleyball and 26 play basketball. There are 31 students who do not play either sport. The
following Venn diagram represents the sets of students. Complete the Venn Diagram by
recording the number of students in each section.
How many students play:
Volleyball only? ________ Both Volleyball and Basketball? ________
Basketball only? ________ Neither sport? ________
Reflect: Consider the set of students who play volleyball and the set of students who play
basketball. Are these two sets disjoint? Explain how you know.
Example #2: Each member of a sports club plays at least one of soccer, rugby, or tennis. The
following information is known. 43 members play tennis, 11 play tennis and rugby, 7 play
tennis and soccer, 6 play soccer and rugby, 84 play rugby or tennis, 68 play soccer or rugby, and
4 play all three sports.
a) Display the information in a Venn diagram.
b) How many members does the club have?
Step-by-step explanation: