Open Interval Definition
An open interval is an interval which does not contain the end points. It is represented by parenthesis (). An example of open interval is (a, b), where a and b are not included.
Open Interval Example
An example of open interval is a number greater than -2 and less than 3 i.e., open interval (-2, 3). The open interval (-2, 3) includes the numbers from -2 to 3 where -2 and 3 are excluded.
Open Interval in Number Line Representation
The open interval in the number line is represented by a circle. Below number line shows the open interval representation in number line.
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”.