Answer
$11 \lt x \lt 17$
In interval notation : $(11,17)$
Work Step by Step
$5 \lt x-6 \lt 11$
Applying addition property of inequality.
Add 6 to all three parts of the inequality.
$5+6 \lt x-6+6 \lt 11+6$
$11 \lt x \lt 17$
Solution set in interval notation : $(11,17)$