Definition:Bounded Above Set/Real Numbers

Definition
Let $\R$ be the set of real numbers.

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

Also see

 * Definition:Upper Bound of Subset of Real Numbers


 * Definition:Bounded Below Subset of Real Numbers
 * Definition:Lower Bound of Subset of Real Numbers


 * Definition:Bounded Subset of Real Numbers