Answer
$(-6,-4)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$5x\lt-20$ and $3x\gt-18$.
Solve each inequality separately.
$\Rightarrow 5x\lt-20$ and $3x\gt-18$.
$\Rightarrow x\lt-4$ and $x\gt-6$.
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.
$x\lt-4$ as $(-\infty,-4)$ and $x\gt-6$ as $(-6,\infty)$
The intersection is
$(-\infty,-4)\cap(-6,\infty)=(-6,-4)$.
