How do I convert an inequality to interval notation?

To convert x > 3 to interval notation, write (3, ∞). For x ≤ 7, write (-∞, 7]. Use square brackets for ≤ or ≥, and parentheses for . Infinity always uses parentheses.

Can I upload multiple values at once?

Yes! Upload a CSV or TXT file with one inequality or interval per line (e.g., 'x>5' or '2,8,closed,open'). Our bulk processor handles thousands of entries instantly with real-time validation.

What formats are supported for bulk upload?

Supported formats: 1) Inequality string (e.g., 'x≥-3'), 2) CSV: lower,upper,inclusionLower,inclusionUpper (e.g., '-5,10,open,closed'), 3) Union notation (e.g., '[1,3] U (5,7]'). No headers required.

Interval Notation Calculator – Bulk CSV/TXT Tool

#	Input	Interval Notation	Type	Status
Results will appear here after calculation

What is Interval Notation & How to Calculate?

Interval notation is a concise mathematical system for representing continuous sets of real numbers using brackets and parentheses. Unlike roster or set-builder notation, interval notation efficiently expresses ranges on the number line—critical for calculus, statistics, and engineering applications. Square brackets [ ] denote inclusion of an endpoint (≤ or ≥), while parentheses ( ) indicate exclusion (< or >). Infinity symbols (∞) always pair with parentheses since infinity isn't a reachable value.

Our advanced calculator transforms inequalities like x ≥ -2 into [-2, ∞) instantly. For compound inequalities such as -3 < x ≤ 5, the result is (-3, 5]. Bulk processing supports CSV/TXT uploads with formats: inequality_string (e.g., "2 ≤ x < 9") or structured CSV: lower,upper,inclusionLower,inclusionUpper (e.g., "2,9,closed,open"). Real-time validation catches syntax errors, undefined expressions, or conflicting bounds before computation.

Practical applications include defining solution sets for equations, specifying confidence intervals in statistics, modeling physical constraints in physics, and configuring parameter ranges in data science pipelines. For example, a temperature sensor operating between -10°C and 45°C inclusive translates to [-10, 45]. In finance, a stock price target range of "above $50 but not exceeding $120" becomes (50, 120].

Conversion Logic:
• x > a → (a, ∞)
• x ≥ a → [a, ∞)
• x < b → (-∞, b)
• x ≤ b → (-∞, b]
• a < x < b → (a, b)
• a ≤ x ≤ b → [a, b]
• Union: [1,3] ∪ (5,7] → two separate intervals

Inequality: x > 7 Result: (7, ∞)

Inequality: -4 ≤ x < 2 Result: [-4, 2)

CSV Input: 0,10,open,closed Result: (0, 10]

Union: x < -1 OR x ≥ 3 Result: (-∞, -1) ∪ [3, ∞)

Whether you're a student solving algebra problems, a researcher validating experimental ranges, or a developer implementing boundary checks, this tool delivers accuracy at scale. All processing occurs client-side—your data never leaves your browser. Export results as CSV for reports, copy to clipboard for documentation, or clear and recalculate instantly. With mobile-responsive design and lazy-loaded assets, performance remains optimal across all devices.

Features

Designed for Efficiency & Accuracy

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Bulk CSV/TXT Support

Upload thousands of inequalities, instant batch processing with progress feedback.

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Real-time Validation

Detects syntax errors, invalid bounds, or conflicting intervals before calculation.

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Download & Copy

Export results as CSV or copy formatted table to clipboard with one click.

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Configurable Precision

Choose decimal places from 0 to 10 for boundary values in output intervals.

How it works

Three Simple Steps

Enter or Upload

Type an inequality manually or upload CSV/TXT with one expression per line. Supports standard math notation and structured CSV format.

Validate & Compute

Click Calculate; our engine parses expressions, checks for errors (e.g., lower > upper), and converts to proper interval notation instantly.

Analyze & Export

View formatted results table, copy to clipboard, download as CSV, or clear to start over. All processing happens in your browser.

FAQ

Interval notation is a mathematical shorthand for representing sets of real numbers using brackets and parentheses. Square brackets [ ] include the endpoint; parentheses ( ) exclude it. Example: [2, 5) includes 2 but excludes 5.

Map inequality symbols to brackets: ≤ or ≥ → square bracket [ ], < or > → parenthesis ( ). Infinity always uses parentheses. Example: x ≥ -3 becomes [-3, ∞); -1 < x ≤ 4 becomes (-1, 4].

Yes! Upload a CSV/TXT file with one inequality per line (e.g., "x>5") or use structured CSV format: lower,upper,inclusionLower,inclusionUpper (e.g., "2,10,open,closed"). Our bulk processor handles thousands of entries with real-time validation.

Our calculator validates inputs in real-time. Common errors like "lower bound > upper bound", invalid symbols, or missing values trigger clear error messages. Invalid rows show "Error" in results while valid ones process normally.

Absolutely. All calculations happen locally in your browser using JavaScript. No data is sent to servers, stored, or shared. You can disconnect from the internet after loading the page and still use all features.

Advanced Interval Notation Calculator

📈 Results