Set Theory Calculator
Union, Intersection, Difference, Complement, Symmetric Difference, Subset & Cardinality
Theme
Universal Set (U)
comma or space separated
Set A
Set B
Set C (optional)
Quick Operations
A ∪ B
A ∩ B
A − B
B − A
A Δ B
A′
B′
C′
(A ∩ B) ∪ C
(A − B) ∩ C′
Expression (A, B, C, U, parentheses). Use ∪, ∩, −, Δ, and postfix complement: ′
Evaluate Expression
Clear
Shortcuts:
U
union,
^
intersection,
-
difference,
*
symmetric Δ,
'
complement.
Cardinality
|A| =
0
|B| =
0
|C| =
0
|U| =
0
|Result| =
0
Subset checks
A ⊆ U:
?
B ⊆ U:
?
C ⊆ U:
?
Result
A
B
C
Elements are placed into their true Venn regions by membership in A/B/C. Elements belonging to the
current result
are highlighted.