Solve the inequality for \( w \). \[ -\frac{6}{7} w<-8 \] Simplify your answer as much as possible. Silu

To solve the inequality \(-\frac{6}{7} w < -8\), you want to isolate \(w\). First, multiply both sides of the inequality by \(-\frac{7}{6}\). Remember, multiplying by a negative number flips the inequality sign. So you get: \[ w > \frac{-8 \times -\frac{7}{6}}{1} \] Calculating the right side: \[ w > \frac{56}{6} \] Simplifying \(\frac{56}{6}\) gives you: \[ w > \frac{28}{3} \] Thus, the final answer is: \[ w > \frac{28}{3} \]