subset calculator

set a (proper subset) =
set b =
set b is = of set a

subset definition: generally speaking, for two sets a and b, if any element in set a is an element in set b, we say that these two

there is an inclusion relationship between sets, and set a is called a subset of set b.

written as: a⊆b (or b⊇a)

read: "a contains 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.