Inequality ↔ Interval Calculator

Automatically converts inequalities and interval notation in real-time.



📘 About the Inequality ↔ Interval Notation Calculator

This smart calculator instantly converts mathematical inequalities into interval notation — and interval notation back into inequalities — with fast, real-time results.

🔄 Two-Way Conversion

Easily switch between:

  • Inequality → Interval Notation
  • Interval Notation → Inequality

Just select the direction and enter your values — results update instantly.

📊 Multiple Inequality Types

  • One-Sided (x > a, x ≤ a)
  • Two-Sided (a < x < b)
  • Compound OR inequalities

Automatically handles open ( ) and closed [ ] intervals correctly.

✍️ Clear Mathematical Explanation

The calculator displays:

  • The inequality form
  • The interval notation form
  • A simple English explanation

Perfect for algebra students and exam preparation.

⚡ Instant & Beginner Friendly

No manual calculation required. Results update automatically as you type, making it fast, accurate, and easy for homework, quizzes, and classroom learning.

📌 Example

If you enter:

x ≥ 3

The calculator converts it to:

[3, ∞)

This means all real numbers greater than or equal to 3.

Frequently Asked Questions About the
Inequality ↔ Interval Notation Calculator

Everything you need to know about converting inequalities and interval notation quickly and accurately.

What does this calculator do?

It instantly converts inequalities (like x > 3 or 1 ≤ x < 5) into interval notation and vice versa, providing the result in math form and words.

Is this calculator free?

Yes! It is completely free to use with no registration or hidden charges required.

Can it handle both one-sided and two-sided inequalities?

Yes, the calculator supports one-sided inequalities (x > a), two-sided inequalities (a ≤ x < b), and OR compound inequalities (x < a OR x > b).

Can I convert interval notation back to inequalities?

Absolutely! You can input an interval like (1, 5] and the calculator will generate the equivalent inequality form and a simple explanation in words.

How do I select the type of inequality?

Use the “Inequality Type” dropdown to choose one-sided, two-sided, or OR compound inequalities. The calculator will adjust the input fields automatically.

Does it show explanations in words?

Yes, for each calculation the tool displays the inequality, interval notation, and a simple English explanation to help you understand the result.

Can I use it on mobile devices?

Yes, the calculator is fully responsive and works smoothly on smartphones, tablets, laptops, and desktops.

Can I clear or reload the calculator easily?

Yes, use the “Clear All” button to reset inputs or the “Reload Calculator” button to reload the page completely.

Is it suitable for students preparing for exams?

Absolutely! This calculator is perfect for homework, quizzes, and exam practice. It provides instant, accurate results with clear explanations.

What types of intervals does it support?

The calculator correctly handles open ( ) and closed [ ] intervals, infinite intervals (like (-∞, a) or [b, ∞)), and compound intervals.

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