Answer
$-5\leq h \leq 15$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow |h-5|\leq 10$
Write a compound inequality.
$\Rightarrow h-5\leq 10$ and $h-5\geq -10$
Add $5$ to each side.
$\Rightarrow h-5+5\leq 10+5$ and $h-5+5\geq -10+5$
Simplify.
$\Rightarrow h\leq 15$ and $h\geq -5$
Hence, the solution is $-5\leq h \leq 15$.
