Matematicas

TALLER
OPERACIONES CON CONJUNTOS
CONJUNTOS
U = {x/x es un numero natural ≤ 12}
A = {2, 3, 5, 7, 10, 12}
B = {1, 3, 7, 10, 12}
C = {0, 4, 6, 8, 10, 12}
D = {1, 4, 5, 8, 11, 12}Complementos:
A' = {0, 1, 4, 6, 8, 9, 11}
B' = {0, 2, 4, 5, 6, 8, 9, 11}
C' = {1, 2, 3, 5, 7, 9, 11}
D' = {0, 2, 3, 6, 9, 10}

OPERACIONES

1. A ∆ B = A U B = {1, 2, 3, 5, 7, 10, 12}A B = {3, 7, 10, 12}
A ∆ B = (A U B) – (A B)
A ∆ B = {1, 2, 5}

2. (A U B) C = A U B = {1, 2, 3, 5, 70, 10, 12}(A U B) C= {10,12}
3. (A D) U B = A D = {5, 7, 12}
(A D) U B = {1, 3, 5, 7, 10, 12}

4. A – C = {2, 3, 5, 7}

5. (B – A) C = (B – A) = {1}(B – A) C =

6. (D ∆ C)' = (D ∆ C) = {0, 1, 5, 6, 7, 11}
(D ∆ C) = {2, 3, 4, 8, 9, 10, 12}

7. (D' – C) - A' = D' = {0, 2,3, 6, 9, 10}
(D’ – C) = {0, 2, 3, 9}
(D' – C) – A' = {2, 3, 9}


8. (D' U A) C' = (D' U A) = {0, 2, 3, 5, 6, 7, 9, 10, 12}
(D' U A) C' = {2, 3, 5, 7,9}


9. (A' B)' (C D)' =
({1, 2, 5) U {0, 2, 3, 6, 9, 10} {0, 4, 6, 8, 10, 12}
{0, 1, 2, 3, 5, 6, 9, 10} {0, 4, 6, 8, 10, 12} = {0, 6, 10}



10. ((A ∆B) U D') C = {1, 2, 5}
= {0, 1, 2, 3, 5, 6, 9, 10}
= {0, 6, 10}


11. (B – C)' D'= (1, 3, 7)' = (0, 2, 4, 5, 6,8, 9, 10, 11, 12}
(B – C)' D' = {0, 2, 6, 9, 10}


12. A U (C D) – B = (C D) = {4, 8, 12}
A U (C D) = {2, 3, 4, 5,7, 8, 10, 12}
A (C D) – B= {2, 4, 5, 8}



13. (C – B)' A' = (C – B) = {0, 4, 6, 8}
(C – B)' = {1, 2, 3, 5, 7, 9, 10, 11, 12}...