Amber is solving the inequality |X+6| - 12 <13 by graphing. Which equations should Amber graph?

We start at:

|X+6| - 12 < 13

Here we can add 12 to both sides:

|X+6| <13 + 12 = 25

|X+6| < 25

We can separate it in two equations:

if x > - 6, then |X+6| = x + 6

(x + 6) < 25

x < 25 - 6

x < 19

if x < - 6, then |X+6| = - (x + 6)

- (x + 6) < 25

-x < 31

x > - 31

And with those two equations we get:

-31 < x < 19