## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\left(-\infty,\dfrac{5}{3} \right]$
$\bf{\text{Solution Outline:}}$ 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 $\left(-\infty,\dfrac{5}{3} \right] .$