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

$\left(-13, \infty \right)$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-5\lt9x+8-8x .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} -5\lt9x+8-8x \\\\ -9x+8x\lt+8+5 \\\\ -x\lt13 .\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\lt13 \\\\ \dfrac{-x}{-1}\lt\dfrac{13}{-1} \\\\ x\gt-13 .\end{array} Hence, the solution set is $\left(-13, \infty \right) .$