Ejercicios logica matematica

icaEJERCICIOS LOGICA MATEMATICA
1. Si U= [1,2,3,4,5,6,7,8,9,10] es el conjunto universal y A = [1,4,7,10] B = [1,2,3,4,5] C = [2,4,6,8], defina la extensión lossiguientes conjuntos:
a. AUB
A = [1,4,7,10]
B = [1,2,3,4,5]
AUB = [1,2,3,4,5,7,10]

b. A-B
A = [1,4,7,10]
B = [1,2,3,4,5]
A-B = [2,3,5,7,10]

C. Ac = [1, 2,3, 4, 5, 6, 7, 8, 9,10]

D. Uc = Ø

E. B∩U
B = [1,2,3,4,5]
Ʊ = [1,2,3,4,5,6,7,8,9,10]
B∩Ʊ = [1,2,3,4,5]

F. Bc ∩ (C-A)
B = [1,2,3,4,5]
C = [2,4,6,8]
A =[1,4,7,10]
(C-A) = [1,2,6,7,8,1O]
Bc ∩ = [1,2]
G. (A∩B)c U C = [1,2,3,4,5,6,7,8,9,10]

H. B∩C
B = [1,2,3,4,5]
C = [2,4,6,8]
B∩C = [2,4]

I. AUØ
A =[1,4,7,10]
Ø = Ø
AUØ = [1,4,7,10]

J. A∩ (B∩C)
(B∩C) = [1,2,3,4,5,6,8]
A = [1,4,7,10]
A∩ (B∩C) =[1,4]

K. (A∩B) UC
A = [1,4,7,10]
B = [1,2,3,4,5]
C = [2,4,6,8](A∩B) = [1,4]
UC = [1,2,4,6,8]

L. (A∩B) – C
(A∩B) = [1,4]
- C = [2,6,8]
M. (AUB) – (C-B)
(AUB) = [2,4,6,7,8,10]
(C-B) = [1,3,5,8]

A2 B B12
A 2 B B12

9
1
9
1
3 5
7 11
3 57 11
2. Ʊ
A.A U B
Ʊ = 1, 2, 3, 5, 7, 9, 11
A = 1, 3, 5, 7, 9, 11
B = 2, 3, 5, 7, 9, 11
A U B = 1, 2, 3, 5, 7, 9, 111 7 6 C
2 5 12
9 3 2
A 11
3 76 C
4 5 12
9 3 2
A 11
B.A ∩ C Ʊ...