Answer
$(-3,5]$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$3x\leq15$ and $2x\gt-6$.
Solve each inequality separately.
$\Rightarrow 3x\leq15$ and $2x\gt-6$.
$\Rightarrow x\leq5$ and $x\gt-3$.
First graph then take the intersection of the solution sets of the two inequalities.
The graph is shown in the image file.
We can write the compound inequality.
$x\leq5$ as $(-\infty,5]$ and $x\gt-3$ as $(-3,\infty)$
The intersection is
$(-\infty,5]\cap(-3,\infty)=(-3,5]$.
