Question

Solve the inequality and graph the solution on the number line. 5x – 19 <= -4

Answer 1

The solution to the inequality is:

`x\le5`

Step-by-step explanation:

Given the inequality:

`5x-19\le-4`

Add 19 to both sides of the inequality

`\begin{gathered} 5x-19+19\le-4+19 \\ \\ 5x\le15 \end{gathered}`

Divide both sides by 5

`\begin{gathered} (5x)/(5)\le(15)/(5) \\ \\ x\le5 \end{gathered}`

The graph of the inequality is shown below: