Let U= {0, 1, 2, 3, 4, 5, ...), C= {1, 2, 3, 4, ...), and D=(4, 8, 12, 16, ...). Determine the set CUD. Choose the correct answer below. OA. CUD={1, 2, 3, 4, ...) OB. CUD={4, 8, 12, 16, ...} OC. CUD={1, 2, 3, 4, 4, 8, 12, 16) O.D. CUD={1, 2, 3, 4)
Let U= {0, 1, 2, 3, 4, 5, ...), C= {1, 2, 3, 4, ...), and D=(4, 8, 12, 16, ...). Determine the set CUD. Choose the correct answer below. OA. CUD={1, 2, 3, 4, ...) OB. CUD={4, 8, 12, 16, ...} OC. CUD={1, 2, 3, 4, 4, 8, 12, 16) O.D. CUD={1, 2, 3, 4)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Educational Content: Union of Sets**
---
**Problem Statement:**
Given the following sets:
- \( U = \{0, 1, 2, 3, 4, 5, \dots\} \)
- \( C = \{1, 2, 3, 4, \dots\} \)
- \( D = \{4, 8, 12, 16, \dots\} \)
Determine the set \( C \cup D \).
---
**Union of Sets Explanation:**
The union of two sets, \( C \cup D \), is the set containing all elements that are in \( C \), in \( D \), or in both.
1. **Set \( C \)** is given as \( \{1, 2, 3, 4, \dots\} \).
- This represents all positive integers.
2. **Set \( D \)** is given as \( \{4, 8, 12, 16, \dots\} \).
- This represents the multiples of 4.
**Steps to find \( C \cup D \):**
- List out the elements of both sets.
- Combine the elements into a single set, ensuring no duplicates.
### Solution:
- Elements of \( C \) = \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, \dots\} \) (all positive integers)
- Elements of \( D \) = \( \{4, 8, 12, 16, \dots\} \) (multiples of 4)
Combining these:
\[C \cup D = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, \dots\} \]
Thus, \(C \cup D\) is the set of all positive integers, as any multiple of 4 is already included in the positive integers.
---
**Multiple Choice Question:**
Choose the correct answer below:
- **A.** \( C \cup D = \{1, 2, 3, 4, \dots\} \)
- **B.** \( C \cup D = \{4, 8, 12, 16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F432470f7-8687-4754-a4cb-bb73439b103d%2F4a75240b-4f50-4bde-958e-3ff84a71fb75%2F0103pn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Union of Sets**
---
**Problem Statement:**
Given the following sets:
- \( U = \{0, 1, 2, 3, 4, 5, \dots\} \)
- \( C = \{1, 2, 3, 4, \dots\} \)
- \( D = \{4, 8, 12, 16, \dots\} \)
Determine the set \( C \cup D \).
---
**Union of Sets Explanation:**
The union of two sets, \( C \cup D \), is the set containing all elements that are in \( C \), in \( D \), or in both.
1. **Set \( C \)** is given as \( \{1, 2, 3, 4, \dots\} \).
- This represents all positive integers.
2. **Set \( D \)** is given as \( \{4, 8, 12, 16, \dots\} \).
- This represents the multiples of 4.
**Steps to find \( C \cup D \):**
- List out the elements of both sets.
- Combine the elements into a single set, ensuring no duplicates.
### Solution:
- Elements of \( C \) = \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, \dots\} \) (all positive integers)
- Elements of \( D \) = \( \{4, 8, 12, 16, \dots\} \) (multiples of 4)
Combining these:
\[C \cup D = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, \dots\} \]
Thus, \(C \cup D\) is the set of all positive integers, as any multiple of 4 is already included in the positive integers.
---
**Multiple Choice Question:**
Choose the correct answer below:
- **A.** \( C \cup D = \{1, 2, 3, 4, \dots\} \)
- **B.** \( C \cup D = \{4, 8, 12, 16
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman