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: 52

Answer

$\left\{ x|x\lt-\dfrac{2}{5} \right\} \text{ or } \left( -\infty, -\dfrac{2}{5} \right) $

Work Step by Step

Using the properties of inequality, the given inequality, $ 2(x+5)\lt8-3x ,$ is equivalent to \begin{array}{l}\require{cancel} 2x+10\lt8-3x \\\\ 2x+3x\lt8-10 \\\\ 5x\lt-2 \\\\ x\lt-\dfrac{2}{5} .\end{array} Hence, the solution is $ \left\{ x|x\lt-\dfrac{2}{5} \right\} \text{ or } \left( -\infty, -\dfrac{2}{5} \right) .$
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