Answer
The correct graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow x-2\gt 3$ or $x+8 \lt -2$
Solve the first inequality.
$\Rightarrow x-2\gt 3$
Add $2$ to each side.
$\Rightarrow x-2+2\gt 3+2$
Simplify.
$\Rightarrow x\gt 5$
Solve the second inequality.
$\Rightarrow x+8 \lt -2$
Subtract $8$ from each side.
$\Rightarrow x+8-8 \lt -2-8$
Simplify.
$\Rightarrow x \lt -10$
The solution is $x\gt 5 $ or $x \lt -10$.
Hence, the graph is wrong.
