Example:Inequalities are relations

There are different ways to compare different kinds of objects; for example, there are the standard inequalities on numbers ([math]\gt, \lt, ≥, ≤, = [/math]), the set comparisons (), function equality, and so on.

All of these can be thought of as relations. For example, we might think of ⊆ as a relation; if and only if .

As you can see, writing out relations this way can be confusing, but it is good to know that these operations are examples of relations.