Question

How do you solve and write the following in interval notation: `|x + 2| >16`?

Answer 1

Solution: `x>14 or x<-18 or x|(-oo,-18)uu (14,oo)`

Explanation:

`|x+2|>16 or x+2 >16 or x > 14` OR

`|x+2|>16 or x+2 < -16 or x < -18`

Solution: `x< -18 or x >14`

In interval notation : `x|x|(-oo,-18)uu (14,oo)` [Ans]