Ensino Médio ⇒ Conjuntos Tópico resolvido

[naosei]

Sabendo que n(A)=47, n(B)=30 e n(A U B)=60

a) n(A∩B)

b) n(A-B)

c) n(B-A)

Resposta

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gabarito: a)17 b) 30 c) 13

[petras]

naosei,

Operaçao básica de conjunto

[tex3]\mathtt{
n(A\cup B) = n(A) +n(B)-n(A\cap B) \implies n (A \cap B) = n(A)+n(B)-n(A \cup B) = 47+30-60 = \boxed{17} \color{green}\checkmark\\
n(A-B) = n(A) -n(A \cap B) = 47 - 17 = \boxed{30} \color{green}\checkmark\\
n(B-A) = n(B)-n(A \cap B) = 30-17 = \boxed{13}\color{green}\checkmark

}[/tex3]

Código: Selecionar tudoSHIFT+Click na eq = ZOOM

[tex3]\mathtt{
n(A\cup B) = n(A) +n(B)-n(A\cap B) \implies n (A \cap B) = n(A)+n(B)-n(A \cup B) = 47+30-60 = \boxed{17} \color{green}\checkmark\\
n(A-B) = n(A) -n(A \cap B) = 47 - 17 = \boxed{30} \color{green}\checkmark\\
n(B-A) = n(B)-n(A \cap B) = 30-17 = \boxed{13}\color{green}\checkmark

}[/tex3]