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

$x\gt-7$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $8-x\lt15 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 8-x\lt15 \\\\ -x\lt15-8 \\\\ -x\lt7 .\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\lt7 \\\\ x\gt\dfrac{7}{-1} \\\\ x\gt-7 .\end{array}