Answer
$(-1,0)$
Work Step by Step
We are given that $-2x-5\lt-3$ and $6x\lt0$. Therefore, any solution must satisfy both inequalities.
We can first solve $-2x-5\lt-3$.
Add 5 to both sides.
$-2x\lt2$
Divide both sides by -2 (which will reverse the inequality sign).
$x\gt-1$
Next, we can solve $6x\lt0$.
Divide both sides by 6.
$x\lt0$
The solution set consists of all values of x that are greater than -1 and less than 0.