Definition:Upper Bound of Set/Real Numbers

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

Let $T$ be a subset of $\R$.

An upper bound for $T$ (in $\R$) is an element $M \in \R$ such that:
 * $\forall t \in T: t \le M$

That is, $M$ is greater than every element of $T$.

Also see

 * Definition:Bounded Above Subset of Real Numbers


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


 * Definition:Bounded Subset of Real Numbers


 * Definition:Supremum of Set
 * Definition:Infimum of Set