Answer
$ v\leq 2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -9\leq 7-8v$
Subtract $7$ from each side.
$\Rightarrow -9-7\leq 7-8v-7$
Simplify.
$\Rightarrow -16\leq -8v$
Divide each side by $-8$. Reverse the inequality symbol.
$\Rightarrow \frac{-16}{-8}\geq \frac{-8v}{-8}$
Simplify.
$\Rightarrow 2\geq v$
Hence, the solution is $ v\leq 2$.
Use a close circle because $2$ is a solution.
Shade the number line on the left side.
