Answer:
The solution to the given inequality is:
[tex]x\le3[/tex]Explanation:
Given the inequality:
[tex]2+3x\le-7[/tex]Subtract 2 from both sides of the inequality
[tex]\begin{gathered} 2+3x-2\le-7-2 \\ \\ 3x\le-9 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3x}{3}\le-\frac{9}{3} \\ \\ x\le-3 \end{gathered}[/tex]The graph of the inequality is shown below