Interval Notation Calculator

MATH CALCULATOR Interval Notation Calculator Calculate intervals and express them in notation form easily.
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What is the Interval Notation Calculator & How does it work?
An interval is a set of real numbers that includes all the numbers between two given numbers. Interval notation is a way to write these sets concisely.
[a, b]
a = lower bound, b = upper bound
For example, the interval [2, 5] includes all numbers from 2 to 5, including 2 and 5. If you want to exclude the endpoints, use parentheses: (2, 5).
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Frequently Asked Questions
How do I write an interval that includes both endpoints?
To include both endpoints, use square brackets. For example, [2, 5] means all numbers from 2 to 5, including 2 and 5.
What does (a, b) mean in interval notation?
(a, b) represents an open interval where a and b are not included. It includes all numbers between a and b but not a and b themselves.
Can I use the calculator for infinite intervals?
Yes, you can represent infinite intervals using negative infinity (-∞) or positive infinity (∞). For example, [3, ∞) includes all numbers greater than or equal to 3.
How do I input an interval with one endpoint included and the other excluded?
Use a combination of square brackets and parentheses. For instance, (2, 5] means all numbers from 2 to 5, excluding 2 but including 5.
What is the difference between [a, b] and (a, b)?
[a, b] includes both endpoints a and b, while (a, b) excludes both a and b. The square brackets indicate inclusion, and parentheses indicate exclusion.
Can I use this calculator for intervals with negative numbers?
Yes, you can input negative numbers in the interval notation. For example, [-3, 2] includes all numbers from -3 to 2, including both endpoints.
How do I convert a set of inequalities into interval notation?
To convert inequalities into interval notation, identify the lower and upper bounds and determine if they are included or excluded. For example, x > 1 and x ≤ 4 can be written as (1, 4].

Results are for informational purposes only and do not constitute professional advice.