Answer
The correct graph is $C.$
Work Step by Step
The given inequality is
$\Rightarrow -6g+2\geq 20$
Subtract $2$ from each side.
$\Rightarrow -6g+2-2\geq 20-2$
Simplify.
$\Rightarrow -6g\geq 18$
Divide each side by $-6$. Reverse the inequality symbol.
$\Rightarrow \frac{-6g}{-6}\leq \frac{18}{-6}$
Simplify.
$\Rightarrow g\leq -3$
The solution is $ g\leq -3$.
Use a close circle because $-3$ is a solution.
Shade the number line on the left side.
Hence, the correct graph is $C.$
