Producer of Dedekind Cut/Examples/2

Example of Producer of Dedekind Cut

Let $L = \set {l \in \Q: l \le 2}$ and $R = \set {r \in \Q: 2 < r}$.

Then $\tuple {L, R}$ is a dedekind cut of $\Q$, and $2$ is a producer of $\tuple {L, R}$