# How do you solve and graph 6<-2m<10?

May 19, 2018

See process below

#### Explanation:

Given $6 < - 2 m < 10$

Take the left side $6 < - 2 m$

Multiply by -1 in both sides. The symbol "<" changes

$- 6 > 2 m$. Now divide by 2 both sides and you get $- \frac{6}{2} > m$ or equivalent $m < - 3$

Take now the rigth side $- 2 m < 10$. Apply the same process

$2 m > - 10$ or equivalent $m > - \frac{10}{2} = - 5$

In summary, we have two restrictions
$- 5 < m < - 3$

This is equivalent to interval $\left(- 5 , - 3\right)$ grafically is the segment between -5 and -3 but without both endpoints