# How do you solve and graph 4k + 15 > -2k + 3?

Jun 9, 2017

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{15}$ and add $\textcolor{b l u e}{2 k}$ to each side of the inequality to isolate the $k$ term while keeping the inequality balanced:

$\textcolor{b l u e}{2 k} + 4 k + 15 - \textcolor{red}{15} > \textcolor{b l u e}{2 k} - 2 k + 3 - \textcolor{red}{15}$

$\left(\textcolor{b l u e}{2} + 4\right) k + 0 > 0 - 12$

$6 k > - 12$

Now, divide each side of the inequality by $\textcolor{red}{6}$ to solve for $k$ while keeping the inequality balanced:

$\frac{6 k}{\textcolor{red}{6}} > - \frac{12}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} k}{\cancel{\textcolor{red}{6}}} > - 2$

$k > - 2$