Answer
$3\geq x\geq-11$
Please see image
Work Step by Step
$-8\leq-x-5\leq 6\qquad$ ...add $5$ to each part of the inequality.
$-8+5\leq-x-5+5\leq 6+5\qquad$ ...simplify.
$-3\leq-x\leq 11\qquad$ ...multiply each part of the inequality with $(-1)$.
...multiplying with a negative inverts the inequality signs.
$-3(-1)\geq-x(-1)\geq 11(-1)\qquad$ ...simplify.
$3\geq x\geq-11$
The solutions are all real numbers that are less than or equal to $3$ and greater than or equal to $-11$.
Use solid dots on the number line to indicate $-11$ and $3$ are solutions.
