Interval Notation Calculator

Interval Notation Calculator is a free online tool that displays the number line for the given interval. BYJU’S online interval notation calculator tool makes the calculation faster and it displays the number line in a fraction of seconds.

How to Use the Interval Notation Calculator?

The procedure to use the interval notation calculator is as follows:
Step 1: Enter the interval (closed or open interval) in the input fields
Step 2: Now click the button “Calculate” to get the output
Step 3: Finally, the number line for the given interval will be displayed in the new window

What is Meant by Interval?

In Mathematics, an interval is defined as the set of real numbers that lie between two numbers. The three popular methods to represent the intervals are:

  • Interval Notation Method
  • Number Line Method
  • Inequalities Method

In interval notation method, the starting and the ending number will be represented using the brackets. It has two types of brackets, square bracket and round brackets. If the interval is mentioned in a square bracket, the end values are included. If the interval is mentioned in round brackets, the end values are not included.
Example: (7, 12] It means the value from 7 to 12, where 7 is not included and 12 is included.

Similarly, the intervals can be mentioned using inequalities, such as greater than, less than, greater than or equal to, less than or equal to.

In Number line representation, if a circle is filled, it means that the end value is included. If a circle is an open circle, the end value is not included.


  1. What is x>4 in interval notation

    1. (4, infinity)

    2. it should be x > 4 or x > -4 so ( -4,infinity )

  2. What is the interval notation for x is greater than or equal to -5

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