Question

solve the inequality for v.
10 ≥ v/4
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 4

To solve for \( v \) in the inequality \( 10 \geq \frac{v}{4} \), we multiply both sides of the inequality by 4. This is a valid operation because multiplying both sides of an inequality by a positive number (in this case, 4) does not change the direction of the inequality sign.
\[
10 \times 4 \geq \frac{v}{4} \times 4
\]

Step2: Simplify both sides

Simplifying the left - hand side \( 10\times4 = 40 \) and the right - hand side \( \frac{v}{4}\times4=v \). So we get:
\[
40\geq v
\]
Which can also be written as \( v\leq40 \)

Answer:

\( v\leq40 \)