|x-4/2|-1 > or equal to 7

Answer 1

I will assume you meant
|(x-4)/2| - 1 > 7 , then

|(x-4)/2| > 8

(x-4)/2 > 8 or -(x-4)/2 > 8
x-4 > 16 or -x + 4 > 16
x > 20 or x < -12