Answer
$v\lt-5 $ or $v\gt 5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow v+8\lt 3$ or $-8v \lt -40$
Solve the first inequality.
$\Rightarrow v+8\lt 3$
Subtract $8$ from each side.
$\Rightarrow v+8-8\lt 3-8$
Simplify.
$\Rightarrow v\lt -5$
Solve the second inequality.
$\Rightarrow -8v \lt -40$
Divide each side by $-8$. Reverse the inequality symbol.
$\Rightarrow \frac{-8v}{-8} \gt \frac{-40}{-8}$
Simplify.
$\Rightarrow v\gt 5$
Hence, the solution is $v\lt-5 $ or $v\gt 5$.
