nWhat does this equation mean:
$$|a-b| \equiv 2 (mod 3)$$
Examples are:
$$|1-6| \equiv 2 (mod 3)$$
$$|1-5| \not\equiv 2 (mod 3)$$
This is true because |1-6|=5
and 5 divided by 3 is 1 remainder 2
2 is the remainder.
Modular arithmetic is only concerned with the remainder.
So I could say that
|a-b|-3n=2 where $$n\in J \ge 0$$