# How do you solve the inequality 1/4x+7>0?

Jan 8, 2018

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{7}$ from each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$\frac{1}{4} x + 7 - \textcolor{red}{7} > 0 - \textcolor{red}{7}$

$\frac{1}{4} x + 0 > - 7$

$\frac{1}{4} x > - 7$

Now, multiply each side of the inequality by $\textcolor{red}{4}$ to solve for $x$ while keeping the inequality balanced:

$\textcolor{red}{4} \times \frac{1}{4} x > \textcolor{red}{4} \times - 7$

$\frac{\textcolor{red}{4}}{4} x > - 28$

$1 x > - 28$

$x > - 28$