# How do you solve: 6m + 2 < 10?

Dec 7, 2016

$m < \frac{4}{3}$

#### Explanation:

First, isolate the $m$ term on one side of the inequality while keeping the inequality balanced:

$6 m + 2 - \textcolor{red}{2} < 10 - - \textcolor{red}{2}$

$6 m + 0 < 8$

$6 m < 8$

Now solve for $m$ while keeping the inequality balanced:

$\frac{6 m}{\textcolor{red}{6}} < \frac{8}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} m}{\cancel{\textcolor{red}{6}}} < \left(\frac{2}{2}\right) \cdot \left(\frac{4}{3}\right)$

$m < 1 \cdot \frac{4}{3}$

$m < \frac{4}{3}$