Answer
$1\lt x \leq 6$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 6\lt x+5 \leq 11$
Subtract $5$ from each expression.
$\Rightarrow 6-5\lt x+5-5 \leq 11-5$
Simplify.
$\Rightarrow 1\lt x \leq 6$
Hence, the solution is $1\lt x \leq 6$.
