Question: Solve the inequality for v. - \frac{10}{9}v \leq 6 Simplify your answer as much as possible.

Solve the inequality for v.

• \frac{10}{9}v \leq 6 Simplify your answer as much as possible.

Solution

Solve the inequality for \( v \): \[ -\frac{10}{9}v \leq 6 \] First, multiply both sides by \(-1\) to get rid of the negative sign. Remember to flip the inequality sign: \[ \frac{10}{9}v \geq -6 \] Next, multiply both sides by \(\frac{9}{10}\) to solve for \( v \): \[ v \geq -6 \times \frac{9}{10} \] Simplify the right side: \[ v \geq -\frac{54}{10} \] Reduce the fraction: \[ v \geq -\frac{27}{5} \] So, the solution is: \[ v \geq -\frac{27}{5} \]