Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2, 4, 10, 12, 13, 14, 17, 19, 20} Set B= {2,3,5,6, 12, 14, 15, 16} Find the following: LIST the elements in the set (An B): (An B)={\ Enter the elements ar liet }
Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2, 4, 10, 12, 13, 14, 17, 19, 20} Set B= {2,3,5,6, 12, 14, 15, 16} Find the following: LIST the elements in the set (An B): (An B)={\ Enter the elements ar liet }
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
Related questions
Question
![### 2.3 Venn Diagrams and Set Operations
**Score: 2/9**
**3/9 answered**
**Question 4:**
Let \( S \) be the universal set, where:
\( S = \{1, 2, 3, \ldots, 18, 19, 20\} \)
Let sets \( A \) and \( B \) be subsets of \( S \), where:
Set \( A = \{2, 4, 10, 12, 13, 14, 17, 19, 20\} \)
Set \( B = \{2, 3, 5, 6, 12, 14, 15, 16\} \)
Find the following:
- **LIST the elements in the set \( A \cap B \) :**
\[ A \cap B = \{ \} \]
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE.
- **LIST the elements in the set \( B \cap A^c \) :**
\[ B \cap A^c = \{ \} \]
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE.
You may want to draw a Venn Diagram to help answer this question.
**Support Resources:**
- [Video](#)
**Actions:**
- [Submit Question](#)
### Diagram/Graph Analysis
In this question, students are required to examine intersections between sets \( A \) and \( B \), and also between \( B \) and the complement of \( A \).
#### Steps to Solve:
1. **Intersection \( A \cap B \):**
- Identify common elements in both sets \( A \) and \( B \).
2. **Set Complement \( A^c \):**
- Complement of \( A \) (\( A^c \)) includes all elements in \( S \) that are not in \( A \).
3. **Intersection \( B \cap A^c \):**
- Identify elements that are in set \( B \) but not in \( A \) using \( A^c \).
Review the response fields and enter the respective elements in the required format. If no elements are found that satisfy the condition, indicate with "](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6fffe07-0182-49b4-949f-7de773e92073%2Fb23e9f9a-dc4d-4629-ae5f-ce58180f3454%2Fgxeqb4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 2.3 Venn Diagrams and Set Operations
**Score: 2/9**
**3/9 answered**
**Question 4:**
Let \( S \) be the universal set, where:
\( S = \{1, 2, 3, \ldots, 18, 19, 20\} \)
Let sets \( A \) and \( B \) be subsets of \( S \), where:
Set \( A = \{2, 4, 10, 12, 13, 14, 17, 19, 20\} \)
Set \( B = \{2, 3, 5, 6, 12, 14, 15, 16\} \)
Find the following:
- **LIST the elements in the set \( A \cap B \) :**
\[ A \cap B = \{ \} \]
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE.
- **LIST the elements in the set \( B \cap A^c \) :**
\[ B \cap A^c = \{ \} \]
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE.
You may want to draw a Venn Diagram to help answer this question.
**Support Resources:**
- [Video](#)
**Actions:**
- [Submit Question](#)
### Diagram/Graph Analysis
In this question, students are required to examine intersections between sets \( A \) and \( B \), and also between \( B \) and the complement of \( A \).
#### Steps to Solve:
1. **Intersection \( A \cap B \):**
- Identify common elements in both sets \( A \) and \( B \).
2. **Set Complement \( A^c \):**
- Complement of \( A \) (\( A^c \)) includes all elements in \( S \) that are not in \( A \).
3. **Intersection \( B \cap A^c \):**
- Identify elements that are in set \( B \) but not in \( A \) using \( A^c \).
Review the response fields and enter the respective elements in the required format. If no elements are found that satisfy the condition, indicate with "
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