To solve the inequality \( 5x < 12 \), you need to isolate \( x \):
- Divide both sides of the inequality by 5: \[ x < \frac{12}{5} \]
Now, simplify \( \frac{12}{5} \):
- \( \frac{12}{5} \) is equal to \( 2.4 \) or \( 2 \frac{2}{5} \).
Therefore, the correct response from your options is:
- \( x < 2 \frac{2}{5} \) or \( x < \frac{12}{5} \).
The other responses \( x < \frac{5}{12} \) and \( x > \frac{12}{5} \) are incorrect.