Question

solve the inequality for v.
12 < \frac{v}{5}
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 5

To isolate \( v \), we multiply both sides of the inequality \( 12 < \frac{v}{5} \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same.

$$ 12\times5 < \frac{v}{5}\times5 $$

Step2: Simplify both sides

Simplify the left - hand side: \( 12\times5 = 60 \). Simplify the right - hand side: \( \frac{v}{5}\times5=v \). So we get \( 60 < v \), or \( v>60 \).

Answer:

\( v > 60 \)