Solve the inequality for \( v \). \( -8 \leq \frac{v}{-3} \)

To solve the inequality \( -8 \leq \frac{v}{-3} \) for \( v \), follow these steps: 1. **Understand the Inequality:** \[ -8 \leq \frac{v}{-3} \] 2. **Isolate \( v \):** To isolate \( v \), multiply both sides of the inequality by \(-3\). **Important:** When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. 3. **Multiply Both Sides by \(-3\):** \[ -8 \times (-3) \geq v \] \[ 24 \geq v \] 4. **Rewrite the Inequality:** \[ v \leq 24 \] **Solution:** All real numbers \( v \) that are less than or equal to 24 satisfy the inequality. **Final Answer:** All real numbers \( v \) that are less than or equal to 24 satisfy the inequality.