# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 4

$x\gt-5$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $8x-1\gt4x-21 ,$ is \begin{array}{l}\require{cancel} 8x-4x\gt-21+1 \\\\ 4x\gt-20 \\\\ x\gt-\dfrac{20}{4} \\\\ x\gt-5 .\end{array}

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