A subset M ⊆ R {\displaystyle {}M\subseteq \mathbb {R} } of the real numbers is called bounded, if there exist real numbers s ≤ S {\displaystyle {}s\leq S} such that M ⊆ [ s , S ] {\displaystyle {}M\subseteq [s,S]} .
![{\displaystyle {}M\subseteq [s,S]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2da93df0ec2dd28ea51d22e2df040f8587d61771)