Question

solve the inequality for u.
-12 < 4u
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by 4

To solve for \( u \) in the inequality \( -12 < 4u \), we divide both sides of the inequality by 4. Since 4 is a positive number, the direction of the inequality sign remains the same.

$$ \frac{-12}{4} < \frac{4u}{4} $$

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{-12}{4}=-3 \), and simplifying the right - hand side, \( \frac{4u}{4} = u \). So we get \( - 3 - 3 \).

Answer:

\( u > - 3 \)