Subset Calculator

Set A (proper subset) =
Set B =
Set B is = Set A

Subset definition: Generally speaking, for two sets A and B, if any element in set A is also an element in set B, we say that the two sets are subsets.

If two sets have an inclusion relationship, set A is called a subset of set B.

Noted as: A⊆B (or B⊇A)

Read as: "A is contained in B" ("B contains A")

  • A ∪ B = B ∪ A.
  • A ∪ (B ∪ C) = (A ∪ B) ∪ C.
  • A ⊆ (A ∪ B).
  • A ∪ A = A.
  • A ∪ ∅ = A.
  • A ⊆ B if and only if A ∪ B = B.