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 9 - Inequalities and Problem Solving - 9.1 Inequalities and Applications - 9.1 Exercise Set: 20

Answer

$m\le2$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $ 4m+7\ge9m-3 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given inequality is equivalent to \begin{array}{l}\require{cancel} 4m+7\ge9m-3 \\\\ 4m-9m\ge-3-7 \\\\ -5m\ge-10 .\end{array} Dividing both sides by a negative number (and consequently reversing the inequality symbol), the inequality above is equivalent to \begin{array}{l}\require{cancel} -5m\ge-10 \\\\ m\le\dfrac{-10}{-5} \\\\ m\le2 .\end{array}
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