Answer
$-3\le x \le 2$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
-10\le3x-1\le5
.$ Then graph.
In the graph above, a hollowed dot is used for $\lt$ or $\gt$. A shaded dot is used for $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the given is equivalent to
\begin{array}{l}\require{cancel}
-10\le3x-1\le5
\\\\
-10+1\le3x-1+1\le5+1
\\\\
-9\le3x\le6
\\\\
-\dfrac{9}{3}\le\dfrac{3x}{3}\le\dfrac{6}{3}
\\\\
-3\le x \le 2
.\end{array}
The graph includes the points from $-3$ (inclusive) to $2$ (inclusive).
