# How do you solve 40>=-5z?

Apr 27, 2017

See the entire solution process below:

#### Explanation:

Divide each side of the inequality by $\textcolor{b l u e}{- 5}$ to solve for $z$. However, because we are multiplying or dividing an inequality by a negative term we must reverse the inequality operator:

$\frac{40}{\textcolor{b l u e}{- 5}} \textcolor{red}{\le} \frac{- 5 z}{\textcolor{b l u e}{- 5}}$

$- 8 \textcolor{red}{\le} \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 5}}} z}{\cancel{\textcolor{b l u e}{- 5}}}$

$- 8 \le z$

To state the solution in terms of $z$ we can reverse or "flip" the entire inequality:

$z \ge - 8$