Question

solve the inequality for u. 11 + 5u > 1 simplify your answer as much as possible.

Explanation:

Step1: Subtract 11 from both sides

To isolate the term with \( u \), we subtract 11 from both sides of the inequality \( 11 + 5u>1 \). This gives us \( 11 + 5u- 11>1 - 11 \), which simplifies to \( 5u>- 10 \).

Step2: Divide both sides by 5

To solve for \( u \), we divide both sides of the inequality \( 5u>-10 \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{5u}{5}>\frac{- 10}{5} \), which simplifies to \( u > - 2 \).

Answer:

\( u > - 2 \)