Definition:Bounded Above Set

Definition
Let $\left({S, \preceq}\right)$ be an ordered set.

A subset $T \subseteq S$ is bounded above (in $S$) iff $T$ admits an upper bound (in $S$).

Otherwise, $T$ is unbounded above (in $S$).

Also see

 * Upper Bound
 * Bounded Below
 * Lower Bound
 * Bounded