Express the following set in set-builder notation. {9, 11, 13, 15, 17, 19, 21} Select the correct answer below and fill in the answer boxes within your choice. A. {x|x is an integer and ≤x≤ OB. {x|x is an even integer and SXS OC. {x|x is an odd integer and ≤x≤
Express the following set in set-builder notation. {9, 11, 13, 15, 17, 19, 21} Select the correct answer below and fill in the answer boxes within your choice. A. {x|x is an integer and ≤x≤ OB. {x|x is an even integer and SXS OC. {x|x is an odd integer and ≤x≤
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
13
![**Express the following set in set-builder notation.**
\[ \{9, 11, 13, 15, 17, 19, 21\} \]
---
Select the correct answer below and fill in the answer boxes within your choice.
**A.** \(\{ x \mid x \text{ is an integer and } \Box \leq x \leq \Box \}\)
**B.** \(\{ x \mid x \text{ is an even integer and } \Box \leq x \leq \Box \}\)
**C.** \(\{ x \mid x \text{ is an odd integer and } \Box \leq x \leq \Box \}\)
---
**Explanation:**
- **Option A** suggests an integer within a certain range but does not specify if it should be odd or even. The boxes need to be filled with the correct lower and upper bounds of the set.
- **Option B** suggests an even integer within a certain range. Since the set provided consists of odd numbers, this option is incorrect.
- **Option C** suggests an odd integer within a certain range, which aligns with the given set. The boxes need to be filled with the correct lower and upper bounds of the set.
**Correct Answer:**
\(\{ x \mid x \text{ is an odd integer and } 9 \leq x \leq 21 \}\)
This exercise helps students understand how to translate a list of numbers (a set) into formal set-builder notation, an essential concept in higher mathematics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bde779e-c68e-4dd4-a0b8-70b65f5ae251%2F04ec5507-ce2a-451c-b009-0294e3653ccd%2Ft2wwk7i_processed.png&w=3840&q=75)
Transcribed Image Text:**Express the following set in set-builder notation.**
\[ \{9, 11, 13, 15, 17, 19, 21\} \]
---
Select the correct answer below and fill in the answer boxes within your choice.
**A.** \(\{ x \mid x \text{ is an integer and } \Box \leq x \leq \Box \}\)
**B.** \(\{ x \mid x \text{ is an even integer and } \Box \leq x \leq \Box \}\)
**C.** \(\{ x \mid x \text{ is an odd integer and } \Box \leq x \leq \Box \}\)
---
**Explanation:**
- **Option A** suggests an integer within a certain range but does not specify if it should be odd or even. The boxes need to be filled with the correct lower and upper bounds of the set.
- **Option B** suggests an even integer within a certain range. Since the set provided consists of odd numbers, this option is incorrect.
- **Option C** suggests an odd integer within a certain range, which aligns with the given set. The boxes need to be filled with the correct lower and upper bounds of the set.
**Correct Answer:**
\(\{ x \mid x \text{ is an odd integer and } 9 \leq x \leq 21 \}\)
This exercise helps students understand how to translate a list of numbers (a set) into formal set-builder notation, an essential concept in higher mathematics.
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 2 images
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