Answer
$9\leq x \leq 17$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -2\leq x-11 \leq 6$
Add $11$ to each expression.
$\Rightarrow -2+11\leq x-11+11 \leq 6+11$
Simplify.
$\Rightarrow 9\leq x \leq 17$
Hence, the solution is $9\leq x \leq 17$.