Answer
$s\leq \frac{14}{3}$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 2(-4s+2) \geq -5s-10$
Use distributive property.
$\Rightarrow -8s+4 \geq -5s-10$
Add $8s+10$ to each side.
$\Rightarrow -8s+4+8s+10 \geq -5s-10+8s+10$
Simplify.
$\Rightarrow 14 \geq 3s$
Divide each side by $3$.
$\Rightarrow \frac{14}{3} \geq \frac{3s}{3}$
Simplify.
$\Rightarrow \frac{14}{3} \geq s$
Hence, the solution is $s\leq \frac{14}{3}$.
Use a close circle because $\frac{14}{3}$ is a solution.
Shade the number line on the left side.
