Question

Solve the inequality and graph the solution on the number line. 2 + 3x <= -7

Answer 1

The solution to the given inequality is:

`x\le3`

Step-by-step explanation:

Given the inequality:

`2+3x\le-7`

Subtract 2 from both sides of the inequality

`\begin{gathered} 2+3x-2\le-7-2 \\ \\ 3x\le-9 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (3x)/(3)\le-(9)/(3) \\ \\ x\le-3 \end{gathered}`

The graph of the inequality is shown below