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List Y' using the roster method. Answer Y' - X 3 6 16 38 53 18 19 20 10 21 40 60

List Y' using the roster method. Answer Y' - X 3 6 16 38 53 18 19 20 10 21 40 60

Algebra and Trigonometry (6th Edition)
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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**Transcription and Explanation** **Problem Statement:** - List \( Y' \) using the roster method. **Diagram Explanation:** - There is a Venn diagram with three distinct regions: \( U \), \( X \), and \( Y \). - \( U \) represents the universal set and includes the numbers: 18, 19, 20, 3, 6, 16, 38, 53, 10, 21, 40, and 60. - \( X \) is a subset indicated by a blue circle and contains the numbers: 3, 6, 16, 38, and 53. - \( Y \) is a subset indicated by a red circle and contains the numbers: 10, 21, 40, and 60. **Objective:** - Find \( Y' \), the complement of set \( Y \), which consists of elements from the universal set \( U \) that are not in \( Y \). **Roster Method Explanation:** - List all elements that are included in \( U \) but are not included in \( Y \). **Answer:** - \( Y' = \{18, 19, 20, 3, 6, 16, 38, 53\} \) This solution provides the complement of set \( Y \) using the elements from the universal set that are not part of \( Y \), demonstrated through the roster method.
Transcribed Image Text:**Transcription and Explanation** **Problem Statement:** - List \( Y' \) using the roster method. **Diagram Explanation:** - There is a Venn diagram with three distinct regions: \( U \), \( X \), and \( Y \). - \( U \) represents the universal set and includes the numbers: 18, 19, 20, 3, 6, 16, 38, 53, 10, 21, 40, and 60. - \( X \) is a subset indicated by a blue circle and contains the numbers: 3, 6, 16, 38, and 53. - \( Y \) is a subset indicated by a red circle and contains the numbers: 10, 21, 40, and 60. **Objective:** - Find \( Y' \), the complement of set \( Y \), which consists of elements from the universal set \( U \) that are not in \( Y \). **Roster Method Explanation:** - List all elements that are included in \( U \) but are not included in \( Y \). **Answer:** - \( Y' = \{18, 19, 20, 3, 6, 16, 38, 53\} \) This solution provides the complement of set \( Y \) using the elements from the universal set that are not part of \( Y \), demonstrated through the roster method.
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