# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4: 42

$x\ge6$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $5x-2\ge28 ,$ is \begin{array}{l}\require{cancel} 5x\ge28+2 \\\\ 5x\ge30 \\\\ x\ge\dfrac{30}{5} \\\\ x\ge6 .\end{array}

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