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

$\ge$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-5x\le30 .$ Use the resulting solution to complete the relationship of $x \text{ and } -6 .$ $\bf{\text{Solution Details:}}$ Dividing both sides by a negative number (and consequently reversing the inequality symbol) \begin{array}{l}\require{cancel} -5x\le30 \\\\ \dfrac{-5x}{-5}\le\dfrac{30}{{-5}} \\\\ x\ge-6 .\end{array} Hence, the symbol that completes the relationship of $x$ and $-6$ is $" \ge ".$