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 - Page 947: 55


$\left\{ x|x\le-10.875 \right\} \text{ or } \left( -\infty, -10.875 \right] $

Work Step by Step

Using the properties of inequality, the given inequality, $ 0.7(2+x)\ge1.1x+5.75 ,$ is equivalent to \begin{array}{l}\require{cancel} 1.4+0.7x\ge1.1x+5.75 \\\\ 0.7x-1.1x\ge5.75-1.4 \\\\ -0.4x\ge4.35 \\\\ x\le\dfrac{4.35}{-0.4} \\\\ x\le-10.875 .\end{array} Hence, the solution is $ \left\{ x|x\le-10.875 \right\} \text{ or } \left( -\infty, -10.875 \right] .$
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