Taller De Matematicas

Primer Taller de Lógica Matemáticas
Lógica Matemática

Eneira Johana
Cód.

Tutor:


Universidad Nacional Abierta y a Distancia Unad


29-09-2012

1.
1. Dados los conjuntos:U ={1,5,3,4,a,b,c,t,6,s,f}
D={1,t,c,6,f}
A={1,5,6,c,t,3}
M={c,6,5,3,4,a,b}
Resuelve:

2. M’={1,t,s,f}
3. A´={4,a,b,s,f}
4. D´={5,3,4,a,b,s,}
5. D´U A´={5,3,4,a,b,s,f}
6. M´∩A={1,t}
7. D U A´={1,4,a,b,c,t,6,s,f}
8. D ∩ M={c,6}
9. A´∩ M={4,a,b}
10. (D´∩M) UA=
D´∩M={5,3,4,a,b}
(D´∩M ) UA={1,5,3,4,a,b,c,t,6,}
11. (D UM)´=
D UM={1,5,3,4,a,b,c,t,6,f}
(DUM)´= {s}

12. (D´∩ m)´=
D´∩M={5,3,4,a,b}
(D´∩ M)´={1,c,t,6,s,f}
13. D-D´={1,t,c,6}
14. M´- A´={1,t}
15. (A ∩M)´- D=. A∩M={5,3,c,6}(A∩M)´={1,4,a,b,t,s,f}
(A∩M)´- D ={1,t,f}
16. D∆M=
D∆M={1,5,3,4,a,b,t,f}
17. (M-A)´=. M-A={4,a,b}
(M-A)´={1,5,3,c,t,6,s,f,}



2. Dados los conjuntos:
A={2,v,6,m,i,z,g,3,j,5,d,r}
W={v,6,z,g,2,3,5,r}
B={2,v,z,3,j,d,i,5}
Resuelve:

1. w´={m,i,j,d}
2. B´={m,6,g,r,}
3. w´ U B´={6,m,I,g,j,d,r}
4. (W ∩ B)´=. W∩B={2,v,z,3,5}
(W∩B)´={6,m,i,g,j,d,r}
5.(W´)´={2,v,6,z,g,3,5,r}
6. (B´)´={2,v,i,z,3,j,d,5}
7. (WUB)´=. WUB={2,v,6,i,z,g,3,j,5,d,r}
(WUB)´={m}
8. W´∩ B´={m}
9. B-W={j,d,i}
10. B∩w´= { i,j,d,}
11. W∆B={6,i,g,j,d,r}

12. (WUB) ∩(W´∩B´)=.WUB={2,v,6,i,z,g,3,j,5 ,d,r} W´∩B´={m}
(WUB)∩(W´∩B´)={ }
13. W´∆B´={6,i,g,j,d,r}
14. W-B ={6,g,r}
15. B-W´={2,v,z,3,5}



3. Resuelve las siguientes tablas de verdad:1. {[ (m Λ t)→r] Λ –r }→(-t Λ-m)=
m | t | r | m λ t | (m λ t)→r | -r | {[(m λ t)→r] λ-r} | -t | -m | (-t v-m) | {[( m λ t)→r]λ-r}→(-tv-m) |
v | v | v | v | V | f | f | f | f |f | v |
v | v | f | v | F | v | f | f | f | f | v |
v | f | v | f | V | f | f | v | f | v | v |
v | f | f | f | V | v | v | v | f | v | v |
f | v | v | f | V | f | f | f | v | v | v |...