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
![Given the following Venn diagram
### Diagram Explanation:
The Venn diagram shows three overlapping circles labeled A, B, and C within a universal set U. The values within these regions are as follows:
- Circle A has portions labeled 18 (only in A), 6 (in both A and B), 5 (in both A and C), and 7 (in A, B, and C).
- Circle B has portions labeled 15 (only in B), 6 (in both A and B), 5 (in both B and C), and 7 (in A, B, and C).
- Circle C has portions labeled 12 (only in C), 5 (in both A and C), 5 (in both B and C), and 7 (in A, B, and C).
- The area outside the circles but within the universal set U is labeled 26.
### Problem Statement:
Find \( n[ A \cup ( B \cap C ) ] \).
1. ○ 43
2. ○ 45
3. ○ 40
4. ○ 38
5. ○ 41](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fed828e-39c5-45a6-bd50-5b2345ce7f7e%2F7c9550b9-cfb1-4605-9a69-d255b491e953%2F0kr9uvo_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following Venn diagram
### Diagram Explanation:
The Venn diagram shows three overlapping circles labeled A, B, and C within a universal set U. The values within these regions are as follows:
- Circle A has portions labeled 18 (only in A), 6 (in both A and B), 5 (in both A and C), and 7 (in A, B, and C).
- Circle B has portions labeled 15 (only in B), 6 (in both A and B), 5 (in both B and C), and 7 (in A, B, and C).
- Circle C has portions labeled 12 (only in C), 5 (in both A and C), 5 (in both B and C), and 7 (in A, B, and C).
- The area outside the circles but within the universal set U is labeled 26.
### Problem Statement:
Find \( n[ A \cup ( B \cap C ) ] \).
1. ○ 43
2. ○ 45
3. ○ 40
4. ○ 38
5. ○ 41
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