Some Results in Sets
Posted by
Ravi Kumar at Tuesday, December 7, 2010
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1) A ⋃ A = A; A ⋂ A = A
2) A ⋃ B = B ⋃ A
3) A ⋂ B = B ⋂ A
4) A ⋃ (B ⋃ C) = (A ⋃ B) ⋃ C
5) A ⋂ (B ⋂ C) = (A ⋂ B) ⋂ C
6) A ⋃ (B ⋂ C) = (A ⋃ B) ⋂(A ⋃ C)
7) A ⋂ (B ⋃ C) = (A ⋂ B) ⋃ (A ⋂ C)
8) C  (C  A) = C ⋂ A
9) C  (A ⋂ B) = (C  A) ⋃ (C  B)
10) C  (A ⋃ B) = (C  A) ⋂ (C  B)