Data Source and Methodology
This tool uses standard set theory formulas for calculations. All calculations are based on verified mathematical methods.
The Formula Explained
Union: A ∪ B = {x | x ∈ A or x ∈ B}
Intersection: A ∩ B = {x | x ∈ A and x ∈ B}
Complement: A - B = {x | x ∈ A and x ∉ B}
Glossary of Terms
- Set: A collection of distinct elements.
- Union: The set containing all elements from both sets.
- Intersection: The set containing only elements found in both sets.
- Complement: The set of elements in one set but not the other.
How It Works: A Step-by-Step Example
For example, if Set A = {1, 2, 3} and Set B = {3, 4, 5}, the union is {1, 2, 3, 4, 5}, the intersection is {3}, and the complement of A in B is {1, 2}.
Frequently Asked Questions (FAQ)
What are set operations?
Set operations include union, intersection, and complement, which are used to combine or compare sets.
How do I enter sets?
Enter the elements of each set separated by commas, e.g., "1, 2, 3".
Can I use this calculator for more than two sets?
Currently, this version supports operations between two sets only.