# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 50

$x\gt5$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $-6\gt-2x+4 ,$ is \begin{array}{l}\require{cancel} -6-4\gt-2x \\\\ -10\gt-2x \\\\ \dfrac{-10}{-2}\lt x \\\\ 5\lt x \\\\ x\gt5 .\end{array}

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