# How do you solve 7v<42?

Jan 8, 2017

Divide each side of the inequality by $7$. See full explanation below:

#### Explanation:

Divide each side of the inequality by $\textcolor{red}{7}$ to solve for $v$ and keep the inequality balanced.

$\frac{7 v}{\textcolor{red}{7}} < \frac{42}{\textcolor{red}{7}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} v}{\cancel{\textcolor{red}{7}}} < 6$

$v < 6$