Work Step by Step
We are given that $-2x-5\lt-3$ or $6x\lt0$. Therefore, any solutions must only satisfy at least one of the 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. $x\lt0$ Therefore, the solution set consists of all numbers that are greater than -1 or less than 0, which is the set of all real numbers.