# How do you solve the inequality z/4+7>= -5?

Mar 27, 2017

See the entire solution process below:

#### Explanation:

Step 1) Subtract $\textcolor{red}{7}$ from each side of the inequality to isolate the $z$ term while keeping the inequality balanced:

$\frac{z}{4} + 7 - \textcolor{red}{7} \ge - 5 - \textcolor{red}{7}$

$\frac{z}{4} + 0 \ge - 12$

$\frac{z}{4} \ge - 12$

Step 2) Multiply each side of the inequality by $\textcolor{red}{4}$ to solve for $z$ while keeping the inequality balanced:

$\textcolor{red}{4} \times \frac{z}{4} \ge \textcolor{red}{4} \times - 12$

$\cancel{\textcolor{red}{4}} \times \frac{z}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} \ge - 48$

$z \ge - 48$