Difference between Open Interval and 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. |
Also Check: Open Interval and Closed Interval
Interval Notation
Interval notation is a method used to represent continuous sets of real numbers by specifying their boundaries. Written intervals resemble ordered pairs but are not used to indicate specific points. Instead, they serve as a concise means to express inequalities or systems of inequalities, providing a shorthand form to describe the range of values within those boundaries.
Interval notation helps in classifying a range of numbers as a single representation which makes it easier to understand the numeric representation in mathematical terms.
In this article, we will discuss Interval Notation in detail including the different types of interval notations and their representations along with solved examples and practice problems.
Table of Content
- What is Interval Notation in Maths?
- Interval Notation Examples
- Interval Notation for Real Numbers
- Interval Notation for Inequalities
- Interval Notation as Set
- Interval Notation for Domain
- Interval Notation for Range
- Types of Intervals
- Closed Intervals
- Open Intervals
- Half-Open Intervals
- Infinite Intervals
- Difference between Open Interval and Closed Interval
- Number line Representation of Different Types of Graphs
- Applications of Interval Notation
- Solved Examples on Interval Notation
- Practice Problems on Interval Notation