You didn't include instructions, but I would guess that you're supposed to solve the inequality, which I will guess is as follows:
. . . .|2 - (x/4)| - 3 > 1
To solve any "greater than" absolute-value inequality, you split it into two. For instance:
. . . .|x + 3| > 4
. . . .x + 3 > 4 or x + 3 < -4
. . . .x > 1 or x < -7
Follow this procedure with your exercise.
Eliz.