Questions: Solve the inequality for (u). [10 > fracu4] Simplify your answer as much as possible.

$Solve the inequality for (u). [10 > fracu4] Simplify your answer as much as possible.$

Transcript text: Solve the inequality for $u$. \[ 10>\frac{u}{4} \] Simplify your answer as much as possible.

Solution

Solution Steps

To solve the inequality $ 10 > \frac{u}{4} $, we need to isolate the variable $ u $. We can do this by multiplying both sides of the inequality by 4, which is the denominator of the fraction.

Step 1: Isolate the variable $ u $

To solve the inequality $ 10 > \frac{u}{4} $, we need to isolate the variable $ u $. We can do this by multiplying both sides of the inequality by 4, which is the denominator of the fraction.

\[ 10 \cdot 4 > \frac{u}{4} \cdot 4 \]

Step 2: Simplify the inequality

Simplify both sides of the inequality:

\[ 40 > u \]