Question

solve the inequality for u.
\\(\frac{u}{2} - 9 \geq 30\\)

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( u \), we add 9 to both sides of the inequality. This gives us \(\frac{u}{2}-9 + 9\geq30 + 9\), which simplifies to \(\frac{u}{2}\geq39\).

Step2: Multiply both sides by 2

To solve for \( u \), we multiply both sides of the inequality \(\frac{u}{2}\geq39\) by 2. This results in \( u\geq39\times2 \), and calculating \( 39\times2 \) gives \( u\geq78 \).

Answer:

\( u\geq78 \)