Question

solve the inequality for v.
$-dfrac{12}{11}v < 8$

Explanation:

Step1: Multiply both sides by -11/12 (reverse inequality)

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So we multiply both sides of \(-\frac{12}{11}v < 8\) by \(-\frac{11}{12}\), which gives \(v > 8\times(-\frac{11}{12})\).

Step2: Simplify the right - hand side

Simplify \(8\times(-\frac{11}{12})\). We can rewrite 8 as \(\frac{8}{1}\), then \(\frac{8}{1}\times(-\frac{11}{12})=\frac{8\times(-11)}{1\times12}=\frac{-88}{12}\). Reduce the fraction by dividing both the numerator and denominator by 4, we get \(\frac{-22}{3}\).

Answer:

\(v > -\frac{22}{3}\)