Question

Dados os conjuntos: A={1,4,5,6,8}, B={2,6,8,13,17,20} e C={5,7,8,6}, verifique as igualdades: n(AUBUC)=n(A)+n(B)+n(c)-n(AnB)-n(AnC)-n(BnC)+n(AnNnC)​

Answer 1

Resposta:

(AuB) = {1,2,4,5,6,8,13,17,20} = 5

A = {1,4,5,6,8} = 6

B = {2,6,8,13,17,20} = 4

(AnB) = {6,8} = 2

n(AuB) = n(A) + n(B) - n(AnB)

= {1, 2, 4, 5, 6, 8, 13, 17, 20} = {1, 4, 5, 6, 8} + {2, 6, 8, 13, 17, 20} - {6, 8}  

= (9) = (5) + (6) – (2) = 9