Answer
$x\ge-3
\text{ AND }
x\le8$
Work Step by Step
$\bf{\text{Solution Outline:}}$
If there is only $1$ graph, use "AND." If there are two separate graphs, use "OR."
For a graph that uses a parenthesis as an endpoint, use $\lt$ or $\gt.$ For a graph that uses a bracket as an endpoint, use $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Since the given graph contains only a single graph, then "AND" will be used.
Since brackets are used as endpoints in the given graph, then $\le$ or $\ge$ will be used.
The compound inequality that satisfies the given graph is
\begin{array}{l}\require{cancel}
x\ge-3
\text{ AND }
x\le8
.\end{array}