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Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? A B y 11:5 10/ ..... 11:5 The number must equal zero if A and B are disjoint sets. 10/ 11:5 10/ 11:5

Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? A B y 11:5 10/ ..... 11:5 The number must equal zero if A and B are disjoint sets. 10/ 11:5 10/ 11:5

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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**Question**: Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? **Diagram Explanation**: The image includes a Venn diagram with three circles and regions labeled as follows: - **U**: The universal set - **A**: The circle representing set A - **B**: The circle representing set B - The regions within the diagram are labeled with variables: - **x**: The section inside A but outside B - **y**: The intersection of A and B - **z**: The section inside B but outside A - **w**: The section outside both A and B **Answer**: The number in the box (____) must equal zero if A and B are disjoint sets. **Explanation**: For sets A and B to be disjoint, they must have no elements in common. This means the intersection of A and B should be empty. Therefore, the value of **y** must equal zero if A and B are disjoint sets. **Interactive Element**: The interface includes a progress bar and a "Next" button for navigation.
Transcribed Image Text:**Question**: Which of the numbers x, y, z, or w must equal 0 if A and B are disjoint sets? **Diagram Explanation**: The image includes a Venn diagram with three circles and regions labeled as follows: - **U**: The universal set - **A**: The circle representing set A - **B**: The circle representing set B - The regions within the diagram are labeled with variables: - **x**: The section inside A but outside B - **y**: The intersection of A and B - **z**: The section inside B but outside A - **w**: The section outside both A and B **Answer**: The number in the box (____) must equal zero if A and B are disjoint sets. **Explanation**: For sets A and B to be disjoint, they must have no elements in common. This means the intersection of A and B should be empty. Therefore, the value of **y** must equal zero if A and B are disjoint sets. **Interactive Element**: The interface includes a progress bar and a "Next" button for navigation.
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