Answer
$(-\infty,1]$
Work Step by Step
"$ y $ is at most $0$" $\qquad $ is written as $\quad y\leq 0.$
Substituing the expression for y,
$2x-11+3(x+2)\leq 0 \qquad $ ... simplify
$2x-11+3x+6\leq 0$
$ 5x-5\leq 0\qquad $ ... add $5$
$ 5x\leq 5\qquad $ ... divide with 5
$ x\leq 1$
Solution set = $(-\infty,1]$.