Definition:Real Interval/Bounded

Definition
Let $I$ be an interval.

Let $I$ be either open,  half-open, or  closed.

Then $I$ is said to be a bounded (real) interval.

Also see

 * Definition:Open Real Interval
 * Definition:Closed Real Interval
 * Definition:Unbounded Open Real Interval
 * Definition:Unbounded Closed Real Interval