Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Use the union rule to answer.**

If n(A) = 6, n(B) = 11, and n(A ∩ B) = 5, what is n(A ∪ B)?

---

n(A ∪ B) = [ ]

**Explanation:**

To find the number of elements in the union of two sets, A and B, we use the formula:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

Here:
- n(A) = 6
- n(B) = 11
- n(A ∩ B) = 5

By substituting the values:

n(A ∪ B) = 6 + 11 - 5 = 12

The value of n(A ∪ B) is 12.
Transcribed Image Text:**Use the union rule to answer.** If n(A) = 6, n(B) = 11, and n(A ∩ B) = 5, what is n(A ∪ B)? --- n(A ∪ B) = [ ] **Explanation:** To find the number of elements in the union of two sets, A and B, we use the formula: n(A ∪ B) = n(A) + n(B) - n(A ∩ B) Here: - n(A) = 6 - n(B) = 11 - n(A ∩ B) = 5 By substituting the values: n(A ∪ B) = 6 + 11 - 5 = 12 The value of n(A ∪ B) is 12.
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