-4x is less than 32

Answer 1

To solve the inequality \(-4x < 32\), follow these steps:

1. Divide both sides of the inequality by -4. Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality sign.

\[ x > \frac{32}{-4} \]

2. Calculate the right side:

\[ x > -8 \]

So, the solution to the inequality \(-4x < 32\) is:

\[ x > -8 \]

This means that \(x\) can be any number greater than \(-8\).