Interval Notation Calculator

Math Tool

Interval Notation Calculator

Define a range and visualize it in both interval and inequality notation.

Main Calculator

The start point is less than or equal to the end point, so the interval is valid.
Interval
[0, 10]
Inequality
0 ≤ x ≤ 10

What the Notation Means

Parentheses mean the endpoint is excluded. Brackets mean the endpoint is included.

Worked Example

2 < x ≤ 7 becomes (2, 7].

How to Read It

x > 5 becomes (5, ∞)
x ≥ 5 becomes [5, ∞)
x < 5 becomes (-∞, 5)
x ≤ 5 becomes (-∞, 5]

Frequently Asked Questions

Can the endpoints be decimals?

Yes. Any finite real numbers are valid.

What if the start is greater than the end?

That is rejected instead of producing a malformed interval.

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