Venn Diagram Maker
Visualize set union, intersection, difference, symmetric difference, and complement. Enter set elements and drag circles to reposition.
Set Operations
Drag circle centers to reposition
Properties
| Set A | -- |
| Set B | -- |
| |A| | -- |
| |B| | -- |
| Operation | -- |
| Result | -- |
| |Result| | -- |
The Math Behind It
Set Operations
- Union: A βͺ B β all elements in A or B (or both)
- Intersection: A β© B β elements in both A and B
- Difference: A \ B β elements in A but not in B
- Symmetric Difference: A Ξ B β elements in A or B but not both
- Complement: Aβ² β elements in the universal set not in A
Properties
- Commutative: A βͺ B = B βͺ A and A β© B = B β© A
- Associative: (A βͺ B) βͺ C = A βͺ (B βͺ C)
- Distributive: A β© (B βͺ C) = (A β© B) βͺ (A β© C)
- De Morganβs Laws: (A βͺ B)β² = Aβ² β© Bβ² and (A β© B)β² = Aβ² βͺ Bβ²
- Cardinality: |A βͺ B| = |A| + |B| β |A β© B|
You're crushing it!