\begin{definition}[Definition:Bounded Ordered Set/Real Numbers/Definition 2]
Let $\R$ be the set of real numbers.
Let $T \subseteq \R$ be a subset of $\R$ such that:
:$\exists K \in \R: \forall x \in T: \size x \le K$
where $\size x$ denotes the absolute value of $x$.
Then $T$ is '''bounded in $\R$'''.
\end{definition}