Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 58

$x\ge \dfrac{11}{2}$

Using the properties of inequalities, the solution to the given inequality, $ 3x+1\le 5x-10 ,$ is \begin{array}{l}\require{cancel} 3x-5x\le -10-1 \\\\ -2x\le -11 \\\\ x\ge \dfrac{-11}{-2} \\\\ x\ge \dfrac{11}{2} .\end{array}