Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set: 51

Answer

$\left\{ x|x\ge\dfrac{64}{17} \right\} \text{ or } \left[ \dfrac{64}{17},\infty \right) $

Work Step by Step

Using the properties of inequality, the given inequality, $ 2(3+5x)\ge7(10-x) ,$ is equivalent to \begin{array}{l}\require{cancel} 6+10x\ge70-7x \\\\ 10x+7x\ge70-6 \\\\ 17x\ge64 \\\\ x\ge\dfrac{64}{17} .\end{array} Hence, the solution is $ \left\{ x|x\ge\dfrac{64}{17} \right\} \text{ or } \left[ \dfrac{64}{17},\infty \right) .$
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