Answer
$x\le-9$
Work Step by Step
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}