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

$x\le-9$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $3-x\ge12 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 3-x\ge12 \\\\ -x\ge12-3 \\\\ -x\ge9 .\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} -x\ge9 \\\\ x\le\dfrac{9}{-1} \\\\ x\le-9 .\end{array}