Question

How do you solve `abs(x+6)>4`?

Answer 1

`x> -2" and " x<-10`

Explanation:

Split the inequality into it's 2 parts.

`"That is " x+6>4color(red)" or " -(x+6)>4`

`rArrx> -2color(red)" or " -x-6>4`

`rArrx> -2color(red)" or " -x>10rArrx<-10`

`|x+6|>4" consists of the 2 intervals"`

`x> -2" and " x< -10`