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

$x\ge-\dfrac{1}{4}$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-8x\le2 .$ $\bf{\text{Solution Details:}}$ Dividing both sides by $-8$ (and consequently reversing the inequality symbol), the inequality above is equivalent to \begin{array}{l}\require{cancel} -8x\le2 \\\\ x\ge\dfrac{2}{-8} \\\\ x\ge-\dfrac{1}{4} .\end{array}