MATH CALCULATOR
Inequality to Interval Notation Calculator
Convert inequalities to interval notation with ease using our calculator.
What is the Inequality to Interval Notation Calculator & How does it work?
Interval notation is a way of representing the solution set of an inequality. It uses parentheses and brackets to indicate whether the endpoints are included or excluded from the interval.For example, the inequality 2 < x ≤ 5 can be written in interval notation as (2, 5]. This means that x is greater than 2 but less than or equal to 5.
(a, b) = {x | a < x < b}
(a, b) = all real numbers between a and b, not including a and b
Parameters
Interval Notation—
Frequently Asked Questions
How do I convert an inequality to interval notation?
To convert an inequality like 2 < x ≤ 5, write it as (2, 5] in interval notation.
What does the notation (a, b) mean in interval notation?
(a, b) means all real numbers between a and b, not including a and b.
How do I represent an inequality with both endpoints included?
Use square brackets for both endpoints, like [a, b] to include a and b in the interval.
Can you explain how to use this calculator?
Enter your inequality into the calculator, and it will convert it to interval notation for you.
What if I have an inequality with only one endpoint?
For inequalities like x > 3, use (3, ∞) or (-∞, 3) depending on the direction of the inequality.
How do I handle inequalities with no solution?
If there’s no solution, represent it as an empty set: ∅.
Can this calculator handle compound inequalities?
Yes, input your compound inequality, and the calculator will convert each part to interval notation.
Results are for informational purposes only and do not constitute professional advice.