Question: Solve the inequality for v. -8 < \frac{2v}{3} Simplify your answer as much as possible.

Solve the inequality for v. -8 < \frac{2v}{3} Simplify your answer as much as possible.

Solution

To solve the inequality for \( v \): \[ -8 < \frac{2v}{3} \] Multiply both sides of the inequality by 3 to eliminate the fraction: \[ 3(-8) < 2v \] \[ -24 < 2v \] Divide both sides by 2 to solve for \( v \): \[ \frac{-24}{2} < v \] \[ -12 < v \] The simplified solution is: \[ v > -12 \]