Conjuntos lógica
Enviado por PabloRangelV • 14 de Noviembre de 2019 • Tareas • 1.278 Palabras (6 Páginas) • 60 Visitas
- Sean los conjuntos:
U = {a,b,c,d,e,f,g,h,i,j}
A = {f,g,i,j}
B = {a,c,d,f,h,i}
C = {c,d,e,f,g,h}
D = {a,b,c}
Encontrar:
a) (AB) (CD) ={a,c,d,f,g,h}[pic 1][pic 2][pic 3]
b) ((AD) B) C ={e,g}[pic 4][pic 5][pic 6]
c) (ACD)'B ={a,b,c,d,e,f,g,h,i,j} ={U}[pic 7][pic 8][pic 9]
d) (D B) A' ={a,b,c,d,e,f,h}[pic 10][pic 11]
e) ((A B) (D B)) (CD') =[pic 12][pic 13][pic 14][pic 15][pic 16][pic 17]
- Sean los conjuntos:
U = {x l xR} [pic 18]
A = {x l xR; 1 = 0} [pic 19][pic 20]
B = {-1,2, 4)
Encontrar:
a) (A B)' ={x l xR; excepto -1,1,2,4}[pic 21][pic 22]
b) (A B)' ={x l xR; excepto -1}[pic 23][pic 24]
c) (B A') ={-1}[pic 25]
d) (AB) B' ={x l xR; excepto -1,1,2,4}[pic 26][pic 27][pic 28]
e) (B (BA)') A ={1}[pic 29][pic 30][pic 31]
III. Sean los conjuntos:
U = {x l x ; 0 < x < 100 }[pic 32][pic 33]
A = {x l x x es par; x < 10 }[pic 34]
B = {1,2,4,5,6,7}
C = {x l x ; x es divisible entre 3; x < 16[pic 35][pic 36]
Encontrar:
a) (AB)'C ={x l x ; 0 < x < 100; excepto 2,3,4,6,8,9,12,15}[pic 37][pic 38][pic 39][pic 40]
b) (AC) B' ={3,8,9,12,15}[pic 41][pic 42]
c) (C B)'A' ={x l x ; 0 < x < 100; excepto 2,3,4,6,8,9,12,15}[pic 43][pic 44][pic 45][pic 46]
d) (BA) (C'A) ={8}[pic 47][pic 48][pic 49]
e) ((CB) C') A ={x l x ; 0 < x < 100; excepto 2,3,4,6,8,9,12,15}[pic 50][pic 51][pic 52][pic 53][pic 54]
IV. Sean los conjuntos:
U = {x l x ; 0 < x <5000} [pic 55][pic 56]
A = {x l x ; x es par; 0 < x <30} [pic 57]
B = {7, 8, 9 , 13, 21,28}
C = {x l x ; es primo; 0 < x < 20} [pic 58][pic 59]
D = {4, 6, 8, 10, 12, 14, 16}
Encontrar:
a) ((A B) (C B))' ={x l x ∈ ; 0 < x <5000; excepto 9,21, x l x ∈ ; x es par; 0 < x <30; excepto 8,28}[pic 60][pic 61][pic 62][pic 63][pic 64]
b) ((A' C') B') D' ={x l x ∈ ; 0 < x <5000; excepto 3,4,5,6,8,10,11,12,14,16,17,19,21,28}[pic 65][pic 66][pic 67][pic 68]
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