Definition:Bound of Subset of Real Numbers

This page is about Bounded Subset of Real Numbers. For other uses, see Bound.

Definition

Let $S \subseteq \R$ be a subset of the real numbers $\R$.

Let $S$ be bounded.

Then $K$ is a bound for $S$ if and only if:

$\forall x \in S: \size x \le K$

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): bound