The relation $<$ on $\reals$
Terms
| Term | This example | Why |
|---|---|---|
| relation | $\setdef{(x, y) \in \reals \times \reals \suchthat x \text{ is less than } y}$ | The relation $<$ on $\reals$ is the set of pairs $(x, y)$ such that $x$ is less than $y$, so $2 < 3$ is true because $(2, 3)$ is in the set, and $3 < 2$ is false because $(3, 2)$ is not in the set. |
| binary operation | ✗ |