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 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 82


$\left(-\infty,\dfrac{5}{3} \right]$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $ 0.96y-0.79\le0.21y+0.46 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 0.96y-0.79\le0.21y+0.46 \\\\ 100(0.96y-0.79)\le100(0.21y+0.46) \\\\ 96y-79\le21y+46 \\\\ 96y-21y\le46+79 \\\\ 75y\le125 \\\\ y\le\dfrac{125}{75} \\\\ y\le\dfrac{\cancel{25}5}{\cancel{25}3} \\\\ y\le\dfrac{5}{3} .\end{array} Hence, the solution set is $ \left(-\infty,\dfrac{5}{3} \right] .$
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