Question

solve the inequality for v. 32 ≤ 4v simplify your answer as much as possib

Explanation:

Step1: Divide both sides by 4

To solve for \( v \), we divide both sides of the inequality \( 32 \leq 4v \) by 4. Since 4 is a positive number, the direction of the inequality sign remains the same. So we have \(\frac{32}{4} \leq \frac{4v}{4}\).

Step2: Simplify both sides

Simplifying the left side, \(\frac{32}{4} = 8\), and simplifying the right side, \(\frac{4v}{4}=v\). So the inequality becomes \( 8 \leq v \), or equivalently \( v \geq 8 \).

Answer:

\( v \geq 8 \)