Why is the "greater than" or "less than" symbol referred to as operators? My understanding of operators is it works on elements of a set and produces another element of the same set.
I don't see how or why the "$>,≥,<,≤$" would be referred to as "operators" on some pages as it doesn't map to another element. (I think I've also seen it on Wikipedia as well) 
I've always thought of it as a "relation" though. Can anyone shed some light?

This is just a case of infix notation:
$$
a < b \quad = \quad <(a, b)
$$
