Definition:Lower Bound of Set/Real Numbers

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

Let $T$ be a subset of $S$.

A lower bound for $T$ (in $\R$) is an element $m \in \R$ such that:
 * $\forall t \in T: m \le t$

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

Also see

 * Definition:Bounded Below Subset of Real Numbers


 * Definition:Upper Bound of Subset of Real Numbers
 * Definition:Bounded Above Subset of Real Numbers


 * Definition:Bounded Subset of Real Numbers


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