Question

How do you solve and write the following in interval notation: `|x + 2| <18`?

Answer 1

See below.

Explanation:

`|x + 2| <18`

Since there is an absolute, we must cover both the negative and positive bounds of `x`.

`x + 2 <18`
`x + 2 > -18`

So `x<16` and `x> -20`

`[-20,16)` is our answer.