Answer
The solution set is empty.
Work Step by Step
We are given that $2x\geq0$ and $4x-1\leq-9$. Therefore, any solution for x must satisfy both inequalities.
We can first solve $2x\geq0$ for x.
Divide both sides by 2.
$x\geq0$
Next, we can solve $4x-1\leq-9$ for x.
Add 1 to both sides.
$4x\leq-8$
Divide both sides by 4.
$x\leq-2$
Therefore, the solution set is empty because no real number can be greater than or equal to 0 and also less than or equal to -2.
