# How do you solve and write the following in interval notation: -10<b/2<0?

Apr 21, 2017

See the entire solution process below:

#### Explanation:

First, multiply each segment of the system of inequalities by $\textcolor{red}{2}$ to solve for $b$ while keeping the system balanced:

$\textcolor{red}{2} \cdot - 10 < \textcolor{red}{2} \cdot \frac{b}{2} < \textcolor{red}{2} \cdot 0$

$- 20 < \cancel{\textcolor{red}{2}} \cdot \frac{b}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} < 0$

$- 20 < b < 0$

Or

$b > - 20$ and $b < 0$

Or

$\left(- 20 , 0\right)$