To solve the inequality \(-4x < 8\), you can follow these steps:
- Divide both sides of the inequality by \(-4\). Remember that when you divide or multiply by a negative number, you must reverse the inequality sign.
\[ x > \frac{8}{-4} \]
- Simplify the right side:
\[ x > -2 \]
The solution to the inequality is:
\[ x > -2 \]
This means that \(x\) can be any number greater than \(-2\).