The given inequality is:
[tex]2x\leq-3y+9[/tex]Add 3y to both sides to get:
[tex]\begin{gathered} 2x+3y\leq-3y+3y+9 \\ 2x+3y\leq9 \end{gathered}[/tex]Graph the inequaliity as shown in the figure below:
The above graph is the solution set for the inequality.