Answer
$ c\leq 4$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 8-9c\geq -28$
Subtract $8$ from each side.
$\Rightarrow 8-9c-8\geq -28-8$
Simplify.
$\Rightarrow -9c\geq -36$
Divide each side by $-9$. Reverse the inequality symbol.
$\Rightarrow \frac{-9c}{-9}\leq \frac{-36}{-9}$
Simplify.
$\Rightarrow c\leq 4$
Hence, the solution is $ c\leq 4$.
Use a close circle because $4$ is a solution.
Shade the number line on the left side.
