Answer
$[-5,6]$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given inequality, $
-6 \le 2x+4 \le 16
,$ use the properties of inequality.
For the interval notation, use a parenthesis for the symbols $\lt$ or $\gt.$ Use a bracket for the symbols $\le$ or $\ge.$
For graphing inequalities, use a hollowed dot for the symbols $\lt$ or $\gt.$ Use a solid dot for the symbols $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the inequality above is equivalent to
\begin{array}{l}\require{cancel}
-6-4 \le 2x+4-4 \le 16-4
\\\\
-10 \le 2x \le 12
\\\\
-\dfrac{10}{2} \le \dfrac{2x}{2} \le \dfrac{12}{2}
\\\\
-5 \le x \le 6
.\end{array}
In interval notation, the solution set is $
[-5,6]
.$
The red graph is the graph of the solution set.