Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 85

$x\le-9$

Using the properties of inequality, the solution to the given inequality, $ \dfrac{x}{3}+4\le1 ,$ is \begin{array}{l}\require{cancel} \dfrac{x}{3}\le1-4 \\\\ \dfrac{x}{3}\le-3 \\\\ 3\cdot\dfrac{x}{3}\le-3\cdot3 \\\\ x\le-9 .\end{array}