Home

Set Theory Basics Calculator

Online set operations: intersection and union of two sets, plus the complement relative to U.

展开更多 ▾
A∩B, A∪B, ∁UA
Comma separated
Blank skips complement

📖 Tutorial | Sets

1. Definition
Set elements are determinate, distinct and unordered; intersection is shared, union is all, complement is relative to U.
2. Formula & Notation
∩, ∪Intersection, union
∁UAComplement
3. Properties & Laws
  • Distinct, unordered;
  • Intersection is shared;
  • Union is all;
  • Complement relative to U.
4. Steps
  1. Enter sets A,B (commas);
  2. Optionally enter U;
  3. Click "Compute".
5. Worked Examples
Example: A{1..4},B{3..6},U{1..8}: intersection {3,4}, union {1..6}, complement {5,6,7,8}.
6. Common Pitfalls
Duplicates removed;
Unordered;
Complement needs U.

❓ FAQ | Sets

Properties?
Distinct, unordered.
Intersection?
Shared.
Union?
All.
Complement?
Relative to U.
Subset?
A⊆B.
Example?
{3,4}.