Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for u. 10 ≥ 2.5u

Question

solve for u.
10 ≥ 2.5u

Explanation:

Step1: Divide both sides by 2.5

To solve for \( u \) in the inequality \( 10 \geq 2.5u \), we divide both sides of the inequality by \( 2.5 \). Since \( 2.5 \) is a positive number, the direction of the inequality sign remains unchanged.

\[
\frac{10}{2.5} \geq \frac{2.5u}{2.5}
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{10}{2.5}=4 \), and simplifying the right - hand side, \( \frac{2.5u}{2.5} = u \). So we get \( 4\geq u \), which is equivalent to \( u\leq4 \).

Answer:

\( u\leq4 \)