Question

solve the inequality for u. 43 ≥ 2u + 13 simplify your answer as much as possible.

Explanation:

Step1: Subtract 13 from both sides

To isolate the term with \( u \), we subtract 13 from both sides of the inequality \( 43 \geq 2u + 13 \). This gives us \( 43 - 13 \geq 2u + 13 - 13 \), which simplifies to \( 30 \geq 2u \).

Step2: Divide both sides by 2

To solve for \( u \), we divide both sides of the inequality \( 30 \geq 2u \) by 2. This gives us \( \frac{30}{2} \geq \frac{2u}{2} \), which simplifies to \( 15 \geq u \) or equivalently \( u \leq 15 \).

Answer:

\( u \leq 15 \)