Modulus of real numbers

Question

2

-------- >1

|x-4|

Answer 1

x ≠ 4, with this restriction 2/|x-4| < 1 multiplied by |x-4| becomes

|x-4|<2 or that x is less than 2 units from 4 and is not equal to 4.

{2<x<4}∪{4<x<6}