Answer:
x < 7
Explanation:
The initial inequality is:
5(x + 8) < 75
First, we need to divide both sides by 5, so:
[tex]\begin{gathered} \frac{5(x+8)}{5}<\frac{75}{5} \\ x+8<15 \end{gathered}[/tex]Then, subtract 8 from both sides:
x + 8 - 8 < 15 - 8
x < 7
So, the solution to the inequality is x < 7