Answer
$-6\lt x \leq 8$
The graph is shown below.
Work Step by Step
$x$ is more than $-6$.
$\Rightarrow x\gt -6$
and
$x$ is at most $8$.
$\Rightarrow x\leq 8$
The compound inequality is
$-6\lt x \leq 8$
Graph the intersection of the graphs of $x\gt -6$ and $x\leq 8$.