Question

How do you solve and write the following in interval notation: `4abs[x+1]-2<10`?

Answer 1

Solution: `-4 < x <2` , Interval notation : `x| (-4 ,2)`

Explanation:

`4|x+1| -2 < 10 or 4|x+1| < 12` or

`|x+1| < 3 :. (x+1) <3 or x < 2` OR

`(x+1) > - 3 or x > -4`

Solution: `-4 < x <2` , Interval notation : `x| (-4 ,2)` [Ans]