Question

solve the inequality for x.
72 > 8x
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by 8

To solve for \( x \) in the inequality \( 72 > 8x \), we divide both sides by 8. Since 8 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{72}{8} > \frac{8x}{8}
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{72}{8}=9 \), and simplifying the right - hand side, \( \frac{8x}{8} = x \). So we get \( 9>x \), which can also be written as \( x < 9 \).

Answer:

\( x < 9 \)