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Given the following Venn diagram Find n[Au(BOC)]. O 137 O 135 O 136 O 138 0111 20 A 26 25 17 7 10 B

Given the following Venn diagram Find n[Au(BOC)]. O 137 O 135 O 136 O 138 0111 20 A 26 25 17 7 10 B

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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**Venn Diagram Analysis** The given Venn diagram consists of three intersecting circles labeled A, B, and C within a universal set U. Each region within the diagram has a number indicating the number of elements in that specific area. ### Detailed Breakdown: - **Circle A:** - Exclusive to A: 26 - Intersection with B only: 21 - Intersection with C only: 25 - Intersection with both B and C: 17 - **Circle B:** - Exclusive to B: 21 - Intersection with A only: 21 - Intersection with C only: 10 - Intersection with both A and C: 17 - **Circle C:** - Exclusive to C: 7 - Intersection with A only: 25 - Intersection with B only: 10 - Intersection with both A and B: 17 - **Outside the circles in set U (complement):** - Elements in U but not in A, B, or C: 20 ### Problem: Find \( n[ A \cup (B \cap C)^c ] \). ### Options: - \( 137 \) - \( 135 \) - \( 136 \) - \( 138 \) - \( 141 \)
Transcribed Image Text:**Venn Diagram Analysis** The given Venn diagram consists of three intersecting circles labeled A, B, and C within a universal set U. Each region within the diagram has a number indicating the number of elements in that specific area. ### Detailed Breakdown: - **Circle A:** - Exclusive to A: 26 - Intersection with B only: 21 - Intersection with C only: 25 - Intersection with both B and C: 17 - **Circle B:** - Exclusive to B: 21 - Intersection with A only: 21 - Intersection with C only: 10 - Intersection with both A and C: 17 - **Circle C:** - Exclusive to C: 7 - Intersection with A only: 25 - Intersection with B only: 10 - Intersection with both A and B: 17 - **Outside the circles in set U (complement):** - Elements in U but not in A, B, or C: 20 ### Problem: Find \( n[ A \cup (B \cap C)^c ] \). ### Options: - \( 137 \) - \( 135 \) - \( 136 \) - \( 138 \) - \( 141 \)
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