Answer :

Answer:

n(A ∪ B) = 35

Step-by-step explanation:

Use the formula for the union of two sets when they are not mutually exclusive

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

where

n(A) = number of elements in set A
n(B) = number of elements in set B
n(A  ∩ B)= number of elements common to sets A and B
∩ is the math symbol for intersection
∪ is the math symbol for union

Given
n(A) = 15, n(B) = 25 and n(A ∩ B) = 5

n(A ∪ B) = 15 + 25 - 5 = 35

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