Answer
$[-3,\infty)$
Work Step by Step
$8-5x\leq23$
Solve for x by subtracting 8 from each side then multiplying each side by -5. When multiplying by a negative number you must reverse the inequality sign
$8-5x-8\leq23-8$
$-5x\leq15$
$-5x\div-5\geq15\div-5$
$x\geq-3$
This is expressed in interval notation as
$[-3,\infty)$
where [ indicates that -3 is included in the solution set for x.