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To solve the inequality \(-4x < 8\), you can follow these steps:
1. 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.
\[
x > \frac{8}{-4}
\]
2. Simplify the right side:
\[
x > -2
\]
The solution to the inequality is:
\[
x > -2
\]
This means that \(x\) can be any number greater than \(-2\).