Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 275: 101

Answer

4 and 7 nickles

Work Step by Step

Consider the inequality $3.2 \leq 0.1d +0.25 q+0.05 n\leq 5.45$ This implies that $3.2 \leq 0.1(2x-3) +0.25(2x+2)+0.05x\leq 5.45$ or, $3.2 \leq 0.2x-0.3 +0.5x+0.5+0.05x\leq 5.45$ or, $3.2 \leq 0.75x+0.2\leq 5.45$ or, $3.2-0.2 \leq 0.75x\leq 5.45-0.2$ Hence, $4 \leq x\leq 7$, that is, 4 and 7 nickles
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