Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Problem Solving - Page 58: 82b


$\frac{250}{1.05}\leq x\leq\frac{250}{0.95}$

Work Step by Step

Using part a), the compound inequality is: $-0.05x\leq x-250\leq0.05x$. Thus the two parts to solve are : 1)$-0.05x\leq x-250\\-1.05x\leq-250\\x\geq\frac{250}{1.05}$ and 2) $x-250\leq0.05x\\0.95x\leq250\\x\leq\frac{250}{0.95}$ Thus $\frac{250}{1.05}\leq x\leq\frac{250}{0.95}$
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