집합

 집합

1. 집합

2. 부분집합

3. 교집합

4. 합집합

5. 차집합

6. 여집합

7. 대칭차

8. 성질

A ∪ A = A
A ∩ A = A
A ∪ B = B ∪ A
A ∩ B = B ∩ A
( A ∪ B ) ∪ C = A ∪ ( B ∪ C )
( A ∩ B ) ∩ C = A ∩ ( B ∩ C )
A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C )
A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C )
U' = ⌀
⌀' = U
A ∪ U = U
A ∩ U = A
A ∪ ⌀ = A
A ∩ ⌀ = ⌀
( A' )' = A
A ∪ A' = U
A ∩ A' = ⌀
( A ∪ B )' = A' ∩ B'
( A ∩ B )' = A' ∪ B'