Answer:
The solution to the inequality is:
[tex]x\le5[/tex]Explanation:
Given the inequality:
[tex]5x-19\le-4[/tex]Add 19 to both sides of the inequality
[tex]\begin{gathered} 5x-19+19\le-4+19 \\ \\ 5x\le15 \end{gathered}[/tex]Divide both sides by 5
[tex]\begin{gathered} \frac{5x}{5}\le\frac{15}{5} \\ \\ x\le5 \end{gathered}[/tex]The graph of the inequality is shown below: