Difference Between Open Interval and Closed Interval
The below table represents the difference between an open interval and a closed interval.
|
Characteristics |
Open Interval |
Closed Interval |
|---|---|---|
|
Definition |
An interval that does not include the endpoints is called an open interval. |
An interval that includes the endpoints is called a closed interval. |
|
Brackets |
Open interval uses parenthesis. |
Closed interval uses square brackets. |
|
Representation |
It is represented as (a, b). |
It is represented as [a, b]. |
|
Example |
An example of open interval is 2 < x < 9. |
An example of closed interval is 2 ≤ x ≤ 9. |
|
Number Line Representation |
An open interval is represented as a circle at the endpoints in a number Line. |
A closed interval is represented as a filled circle at endpoints in a number Line. |
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Open Interval and Closed Interval
A closed interval includes its endpoints and is enclosed under square brackets. An open interval does not include its endpoints and is enclosed under parenthesis. In this article, we will explore the difference between an open interval and a closed interval, along with the open interval and closed interval definitions. Let’s start our learning on the topic “Difference Between an Open Interval and a Closed Interval”.
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