## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5: 46

#### Answer

$x\lt-2$

#### Work Step by Step

Multiplying both sides by the $LCD= 56$ and then using the properties of inequalities, the solution to the given inequality, $\dfrac{x-6}{8}-\dfrac{x+2}{7}\gt-1 ,$ is \begin{array}{l}\require{cancel} 7(x-6)-8(x+2)\gt56(-1) \\\\ 7x-42-8x-16\gt-56 \\\\ 7x-8x\gt-56+42+16 \\\\ -x\gt2 \\\\ x\lt-2 .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.