Set A
Set B
Operations
Result
Perform an operation to see results
Visualization
About This Set Calculator
What is this tool?
This Set Calculator is a free online tool that allows you to perform mathematical set operations in real-time. You can calculate the union, intersection, and difference between two sets instantly as you type. The tool provides a clean, modern interface with visual feedback and detailed results.
How does it work?
Simply enter elements for Set A and Set B (comma separated), then select the operation you want to perform. The tool will instantly calculate the result and display it in an easy-to-understand format. You can also see a visual representation of the relationship between the sets.
Key Features:
- Real-time calculations: See results as you type
- Bidirectional operations: Perform union, intersection, and both difference operations
- Visual feedback: Elements are displayed with color-coded tags
- No installation: Runs completely in your browser
- Privacy focused: No data leaves your computer
- Fully responsive: Works on desktop, tablet, and mobile
Practical Applications:
Set operations are fundamental to mathematics, computer science, data analysis, and logic. This tool can help students learn set theory concepts, developers work with data structures, researchers analyze datasets, and professionals solve problems involving collections of items.
Frequently Asked Questions
Q: What is a set in mathematics?
A: A set is a collection of distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics.
Q: What is the difference between union and intersection?
A: The union (A ∪ B) combines all elements from both sets, while the intersection (A ∩ B) contains only elements present in both sets.
Q: How does A - B differ from B - A?
A: A - B contains elements that are in A but not in B, while B - A contains elements that are in B but not in A.
Q: Does this tool store my data?
A: No, all calculations happen in your browser. Your data never leaves your computer.