Given the following Venn diagram Find n[ AU (BOC)]. O 43 O 45 O 40 O 38 26 18 5 6 7 12 5 15 B U

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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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
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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