Question

Sean A y B dos conjuntos tales que: n(AB) – n(A) = 4, n(AB) = 10 y n(B) = 12, hallar n(AB) ayuda por favor

Answer 1

Respuesta:

n(a-b) = n(a) - n(a∩b) = 10

n(b-a) = n(b) - n(a∩b) = 6

n(a∪b) = n(a) + n(b) - n(a∩b) =24

n(a) + n(b) - n(a∩b) - n(a∩b) = 10 + 6 = 16

24 - 16 = n(a∩b)

8 = n(a∩b)

n(a) = 10 + n(a∩b) = 18

n(b) = 6 + n(a∩b) = 14

5(n(a))-4(n(b)) = 5×18 - 4×14 = 90 - 56 = 34

Explicación paso a paso: