10. Propiedad distributiva de la intersección A ∩(B U C) = (A ∩ B) U (A ∩ C) A B A B 1 3 5 7 9 0 1 3 5 7 9 0 6 8 2 4 2 4 6 8 C C (A ∩ B) (B U C) (A ∩ C) A ∩(B U C) (A ∩ B) U (A ∩ C)
11. ACU BC = (A ∩ B) C U A B 2 4 6 8 C AC (A ∩ B) C BC
13. Propiedad distributiva de la unión A U (B ∩ C) = (A U B) ∩ (A U C) A B A B 1 3 5 7 9 0 1 3 5 7 9 0 6 8 2 4 6 8 2 4 C C (B ∩ C) (A U B) (A U C) A U (B ∩ C) (A U B) ∩ (A U C)
15. C (A ∩ B) = (C A) U (C B) A B A B 1 3 5 1 3 5 7 9 0 7 9 0 6 8 2 4 6 8 2 4 C C (A ∩ B) (C A) (C B) C (A ∩ B) (C A) U (C B)
16. C (A U B) = (C A)∩ (C B) A B A B 1 3 5 1 3 5 7 9 0 7 9 0 6 8 2 4 6 8 2 4 C C (A U B) (C A) (C B) C (A U B) (C A)∩(C B)
17. C (B A) = (A ∩ C)U (C B) A B A B 1 3 5 1 3 5 7 9 0 7 9 0 6 8 2 4 6 8 2 4 C C (B A) (A ∩ C) (C B) C (B A) (A ∩ C) U (C B)
18. (B A) ∩ C = (B ∩ C)AU = B ∩ (C A) A B A A 1 3 5 1 3 5 1 3 5 B B 7 9 0 7 9 0 7 9 0 2 4 2 4 2 4 6 8 6 8 6 8 C C C (B A) (B ∩ C) (C A) (B A) ∩ C B ∩ (C A) (B ∩ C)A
19. (B A) UC = (B UC)(A C) A B A B 1 3 5 1 3 5 7 9 0 7 9 0 6 8 2 4 6 8 2 4 C C (B A) (B U C) (A C) (B A) U C (B U C)(A C)