# How do you solve and write the following in interval notation: -1<=( x + 1) / -2<= 3?

May 1, 2017

this can be solved by breaking the equation into 2 parts
1. $- 1 \le \frac{x + 1}{-} 2$
2. $\frac{x + 1}{-} 2 \le 3$

#### Explanation:

for 1,
we can first bring everything on 1 side, which gives
$- 1 + \frac{x + 1}{2} \le 0$
multiply the whole equation by 2 to get ride of the denominator
$2 + x + 1 \le 0$
$3 + x \le 0$
$x \le - 3$

this same method can also be used for eqn 2!