# How do you solve -6v> -72?

Dec 23, 2016

$v < 12$

#### Explanation:

To solve this we must divide each side of the inequality by $\textcolor{b l u e}{- 6}$ to isolate the $v$ term while keeping the inequality balance. However, we multiplying or dividing an inequality by a negative term we must reverse the inequality:

$\frac{- 6 v}{\textcolor{b l u e}{- 6}} \textcolor{red}{<} \frac{- 72}{\textcolor{b l u e}{- 6}}$

$\frac{\cancel{- 6} v}{\cancel{\textcolor{b l u e}{- 6}}} \textcolor{red}{<} 12$

$v \textcolor{red}{<} 12$