To solve the inequality \(5x < 12\), we will isolate \(x\) by dividing both sides of the inequality by 5:
\[ x < \frac{12}{5} \]
Now, we convert the improper fraction \(\frac{12}{5}\) into a mixed number.
- Divide 12 by 5, which gives us 2 with a remainder of 2.
- This can be expressed as:
\[ 2 \frac{2}{5} \]
Thus, the solution to the inequality in the requested form is:
\[ x < 2 \frac{2}{5} \]