an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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In an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
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