# How do you solve and write the following in interval notation: x + 1 > -2 and x + 3 <8?

Nov 15, 2017

(-3 and 5)

#### Explanation:

For interval solutions, left brackets mean the lower boundary and right brackets mean the upper boundary, with [ ] meaning "including" and ( ) meaning "excluding".

(a)
$x + 1$ > $- 2$
$x + 1 - 1$ > $- 2 - 1$
$x$ > $- 3$
$x + 3$ < $8$
$x + 3 - 3$ < $8 - 3$
$x$ < $5$