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?

In mathematics, you generally won't see inequality signs referred to as "operators" at all.
In programming languages, "operator" means generally any syntactic construct that can be used to build expressions from other simpler expressions. In most programming languages, inequality signs count as operators, because they are used to build expressions with Boolean values.
Note that most programming languages do not follow the tradition in mathematical logic of distinguishing syntactically between terms (which denote mathematical objects) and formulas (which have truth values). They're all just expressions, and whatever primitives they're built with are operators.
