To solve the inequality \(-8m < -24\), follow these steps:
- Divide both sides by -8. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
\[ m > \frac{-24}{-8} \]
- Simplifying \(\frac{-24}{-8}\):
\[ m > 3 \]
Thus, the solution to the inequality \(-8m < -24\) is:
\[ m > 3 \]
So, the correct answer is:
m > 3