If it equals 0 then:

|x-4|=0

Or, x-4=0

Or, x=4

Note that 4 is a rational number. So, for other values of x (except 4) |x-4| will be greater than 0. So, All irrational numbers satisfy |x - 4| > 0. This statement is true.

|x-4|=0

Or, x-4=0

Or, x=4

Note that 4 is a rational number. So, for other values of x (except 4) |x-4| will be greater than 0. So, All irrational numbers satisfy |x - 4| > 0. This statement is true.