QUESTION 26 Shade the Venn diagram to represent the set. Cn (AUB) A O с A B B Click Save and Submit to save and submit. Click Save All Answers to save all answers.
QUESTION 26 Shade the Venn diagram to represent the set. Cn (AUB) A O с A B B Click Save and Submit to save and submit. Click Save All Answers to save all answers.
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,...
Related questions
Question
![**Question 26**
Shade the Venn diagram to represent the set:
\[ C \cap (A \cup B) \]
### Explanation:
The image consists of two sections representing a Venn diagram task. The task involves shading the Venn diagram to represent the set \( C \cap (A \cup B) \).
#### Venn Diagram Structure:
1. **Top Unshaded Diagram:**
- Three circles labeled A, B, and C overlap within a rectangle, representing a universal set.
- Circle A and Circle B overlap slightly, and both overlap with Circle C.
- The unshaded diagram is the base diagram showing how the sets intersect.
2. **Bottom Shaded Diagram:**
- This diagram shows the correct shading that represents the solution.
- The area where Circle C overlaps with either Circle A or Circle B is shaded.
### Set Notation Explanation:
- \( A \cup B \) represents the union of sets A and B, meaning all elements that are in A, B, or both.
- \( C \cap (A \cup B) \) represents the intersection of set C and the union of sets A and B, meaning only the elements that are in C and also in either A or B.
The shaded region in Circle C that corresponds to the overlap with either Circle A or Circle B is the area correctly depicting the set \( C \cap (A \cup B) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe0b0bf3-317c-4c7e-8ba7-8206c443cc0d%2F8af74540-d7e4-4d10-be12-1f2cd3d4a0b5%2Fli9sa6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 26**
Shade the Venn diagram to represent the set:
\[ C \cap (A \cup B) \]
### Explanation:
The image consists of two sections representing a Venn diagram task. The task involves shading the Venn diagram to represent the set \( C \cap (A \cup B) \).
#### Venn Diagram Structure:
1. **Top Unshaded Diagram:**
- Three circles labeled A, B, and C overlap within a rectangle, representing a universal set.
- Circle A and Circle B overlap slightly, and both overlap with Circle C.
- The unshaded diagram is the base diagram showing how the sets intersect.
2. **Bottom Shaded Diagram:**
- This diagram shows the correct shading that represents the solution.
- The area where Circle C overlaps with either Circle A or Circle B is shaded.
### Set Notation Explanation:
- \( A \cup B \) represents the union of sets A and B, meaning all elements that are in A, B, or both.
- \( C \cap (A \cup B) \) represents the intersection of set C and the union of sets A and B, meaning only the elements that are in C and also in either A or B.
The shaded region in Circle C that corresponds to the overlap with either Circle A or Circle B is the area correctly depicting the set \( C \cap (A \cup B) \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education