Respuesta :

Answer:

The solution to the inequality is;

[tex]x>3[/tex]

Explanation:

Given the inequality;

[tex]-22>-5x-7[/tex]

To solve, let us add 7 to both sides of the inequality.

[tex]\begin{gathered} -22+7>-5x-7+7 \\ -15>-5x \end{gathered}[/tex]

Then we can divide both sides by -5;

[tex]\begin{gathered} \frac{-15}{-5}<\frac{-5x}{-5} \\ 33 \end{gathered}[/tex]

Therefore, the solution to the inequality is;

[tex]x>3[/tex]