Question

Sendo A = {0,5,10,15,20,30,35); B = (0,1,7,10,15,18,20,25)
C= (10,15,20,30,35,40), calcule e faça a representação na forma de diagrama:
a) A UC
b) BUC
c) AUB
d) C - A
e) A - B
f) (A-B) n C
g) (A-C) U (B-C)
​

Answer 1

Resposta:

Explicação passo a passo:

A = {0,5,10,15,20,30,35)  

B = (0,1,7,10,15,18,20,25)    

C= (10,15,20,30,35,40)

a) AUC = {0,5,10,15,20,30,35) ∪  (10,15,20,30,35,40) =

{0, 5, 10, 15 , 20, 30, 35, 40)

b) BUC = (0,1,7,10,15,18,20,25)  ∪ (10,15,20,30,35,40) =

(0, 1, 7, 10, 15, 18, 20, 25, 30, 35, 40)

c) AUB =  {0,5,10,15,20,30,35) ∪ (0,1,7,10,15,18,20,25) =

{0, 1, 5, 7, 10, 15, 18, 20, 25, 30, 35)

d) C - A = (10,15,20,30,35,40) -  {0,5,10,15,20,30,35)  =  {40}

e) A - B = {0,5,10,15,20,30,35) -  (0,1,7,10,15,18,20,25) = {5, 30, 35}

f) (A-B) n C = {0,5,10,15,20,30,35) - (0,1,7,10,15,18,20,25) = {5, 30, 35}

{5, 30, 35} ∩ (10,15,20,30,35,40) = {30, 35}

g) (A-C) U (B-C) = {0,5,10,15,20,30,35) - (10,15,20,30,35,40) = {0, 5,} ∪  (0,1,7,10,15,18,20,25) - (10,15,20,30,35,40) = {0, 7, 18, 25}

{0, 5,} ∪ {0, 7, 18, 25} = {0, 5, 7, 18, 25}