jennaguilmette17
jennaguilmette17 jennaguilmette17
  • 08-07-2021
  • Mathematics
contestada

Given n(A) = 1300, n(A U B) = 2290, and n(A n B) = 360, find n(B).

Respuesta :

joaobezerra joaobezerra
  • 13-07-2021

Answer:

n(B) = 1350

Step-by-step explanation:

Using Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

Three values are given in the exercise.

The other is n(B), which we have to find. So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

[tex]2290 = 1300 + n(B) - 360[/tex]

[tex]940 + n(B) = 2290[/tex]

[tex]n(B) = 2290 - 940 = 1350[/tex]

So

n(B) = 1350

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