Question

solve the inequality for v.
5v < 45
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by 5

To solve for \( v \) in the inequality \( 5v < 45 \), we divide both sides of the inequality by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{5v}{5} < \frac{45}{5} \).

Step2: Simplify both sides

Simplifying the left side, \( \frac{5v}{5} = v \). Simplifying the right side, \( \frac{45}{5} = 9 \). So the inequality simplifies to \( v < 9 \).

Answer:

\( v < 9 \)