## 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: 14

#### Answer

$x\gt\dfrac{3}{2}$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $-6x+8\lt-4x+5 ,$ is \begin{array}{l}\require{cancel} -6x+4x\lt5-8 \\\\ -2x\lt-3 \\\\ x\gt\dfrac{-3}{-2} \\\\ x\gt\dfrac{3}{2} .\end{array}

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