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) =
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
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee3c64d2-01dd-4111-abc5-fb2af0867c00%2F0b9aba8b-7641-4733-ad7e-b5c0b1f96fb2%2F4aykrpw_processed.jpeg&w=3840&q=75)
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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