Question

1) Dados os conjuntos A={0,1,2,3,4,5} B={1,3,5,6,7} e C={0,2,4,6,7,8} determine

a=A∪B
b=A∩B
c=A∪C
d=A∩C
e=B∩C
f=(A∩B)∪C
g=(A∩C)∪B
h=(A∪B)∩C

Answer 1

a)
A∪B = {0, 1, 2, 3, 4, 5, 6, 7}

b)
A∩B = {1, 3, 5}

c)
A∪C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

d)
A∩C = {0, 2, 4}

e)
B∩C = {6, 7}

f)
(A∩B)∪C = {1, 3, 5} U {0, 2, 4, 6, 7, 8} = {0, 1, 2, 3, 4, 5, 6, 7 ,8}

g)
(A∩C)∪B = {0, 2, 4} U {1, 3, 5, 6, 7} = {0, 1, 2, 3, 4, 5, 6, 7}

h)
(A∪B)∩C = {0, 1, 2, 3, 4, 5, 6, 7} ∩ {0, 2, 4, 6, 7, 8} = {0, 2, 4, 6, 7}