11:46 1 2.4 Set Operations and Venn Diagrams With Three Sets Score: 5.8/10 7/10 answered Progress saved Done Question 8 0/1 pt100 A 13 n(AnBnC) = The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set. Submit Question ▼ Details 14 √o myopenmath.com B 57 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question #8. 2.4
### 2.4 Set Operations and Venn Diagrams With Three Sets

**Score:** 5.8/10   
**Questions Answered:** 7/10

---

**Question 8** 

**Points Available:** 0/1 pt  
**Attempts Remaining:** 100

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The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.

---

![Venn Diagram Image]

#### Description of Venn Diagram:

The Venn diagram consists of three sets labeled \( A \), \( B \), and \( C \), each represented by a circle. The cardinalities (number of elements) in different sections of the circles are:

- **Set A** (Blue Circle):
  - Only \( A \): 13 
- **Set B** (Green Circle):
  - Only \( B \): 7
- **Set C** (Red Circle):
  - Only \( C \): 14
- **Intersection of A and B but not C**: 5
- **Intersection of A and C but not B**: 6
- **Intersection of B and C but not A**: 8
- **Intersection of all three sets \( A \cap B \cap C \)**: 2

---

\[ n(A \cap B \cap C) = \_\_\_\_ \]

(Enter your answer in the box provided)

---

[Submit Question Button]

---

**Note:** The diagram is part of an exercise from the educational portal "myopenmath.com".
Transcribed Image Text:### 2.4 Set Operations and Venn Diagrams With Three Sets **Score:** 5.8/10 **Questions Answered:** 7/10 --- **Question 8** **Points Available:** 0/1 pt **Attempts Remaining:** 100 --- The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set. --- ![Venn Diagram Image] #### Description of Venn Diagram: The Venn diagram consists of three sets labeled \( A \), \( B \), and \( C \), each represented by a circle. The cardinalities (number of elements) in different sections of the circles are: - **Set A** (Blue Circle): - Only \( A \): 13 - **Set B** (Green Circle): - Only \( B \): 7 - **Set C** (Red Circle): - Only \( C \): 14 - **Intersection of A and B but not C**: 5 - **Intersection of A and C but not B**: 6 - **Intersection of B and C but not A**: 8 - **Intersection of all three sets \( A \cap B \cap C \)**: 2 --- \[ n(A \cap B \cap C) = \_\_\_\_ \] (Enter your answer in the box provided) --- [Submit Question Button] --- **Note:** The diagram is part of an exercise from the educational portal "myopenmath.com".
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