Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 866: 120

Answer

a. See figure. b. $(1,5),(8,5),(8,-2)$ c. $ 13$, $ 34$, and $ 20$.
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Work Step by Step

a. We can graph the inequalities as shown in the figure. b. We can identify the corners of the solution region as $(1,5),(8,5),(8,-2)$ c. The value of $3x+2y$ at each of the above points can be found as $3(1)+2(5)=13$, $3(8)+2(5)=34$, and $3(8)+2(-2)=20$.
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