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: 56

Answer

$\left\{ x|x\le4.475 \right\} \text{ or } \left( -\infty, 4.475 \right] $

Work Step by Step

Using the properties of inequality, the given inequality, $ 0.4x+5.7\le2.6-3(1.2x-7) ,$ is equivalent to \begin{array}{l}\require{cancel} 0.4x+5.7\le2.6-3.6x+21 \\\\ 0.4x+3.6x\le2.6+21-5.7 \\\\ 4x\le17.9 \\\\ x\le\dfrac{17.9}{4} \\\\ x\le4.475 .\end{array} Hence, the solution is $ \left\{ x|x\le4.475 \right\} \text{ or } \left( -\infty, 4.475 \right] .$
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