Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =
Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Title: Solving Set Union Problems
**Problem Statement:**
Find the value of \( n(A \cup B) \) if \( n(A) = 8 \), \( n(B) = 13 \), and \( n(A \cap B) = 6 \).
**Solution:**
To solve this problem, we use the formula for the union of two sets:
\[
n(A \cup B) = n(A) + n(B) - n(A \cap B)
\]
Plug in the given values:
\[
n(A \cup B) = 8 + 13 - 6
\]
Calculate the result:
\[
n(A \cup B) = 15
\]
**Conclusion:**
The value of \( n(A \cup B) \) is 15.
**Instructions:**
Type a whole number in the box to indicate the solution:
\[ n(A \cup B) = \boxed{15} \]
(Type a whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F038c6036-1a7a-4532-92c2-f9b6fb00a9e2%2Fa76c7ed1-f634-4c12-993e-99f226f82f48%2Fkdlxcv3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Solving Set Union Problems
**Problem Statement:**
Find the value of \( n(A \cup B) \) if \( n(A) = 8 \), \( n(B) = 13 \), and \( n(A \cap B) = 6 \).
**Solution:**
To solve this problem, we use the formula for the union of two sets:
\[
n(A \cup B) = n(A) + n(B) - n(A \cap B)
\]
Plug in the given values:
\[
n(A \cup B) = 8 + 13 - 6
\]
Calculate the result:
\[
n(A \cup B) = 15
\]
**Conclusion:**
The value of \( n(A \cup B) \) is 15.
**Instructions:**
Type a whole number in the box to indicate the solution:
\[ n(A \cup B) = \boxed{15} \]
(Type a whole number.)
Expert Solution
Step 1: Introduction to the question
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
