Closed Interval (Noun)
Meaning
An interval that includes its endpoints.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The professor carefully defined the closed interval as the set of all real numbers between 0 and 1, inclusive of 0 and 1.
- In the context of real analysis, a closed interval is often denoted as [a, b], where a and b are the endpoints of the interval.
- The definition of a closed interval stated that it must include its endpoints, in contrast to an open interval which does not.
- In the problem, the domain was restricted to the closed interval between -2 and 5, meaning that -2 and 5 were both included in the solution set.
- A closed interval can be described as a bounded set of real numbers, where the lower and upper bounds are both included.