Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, c, f, g}, B = {a, c, e, g}, and C = {b, e, g, i} List the elements of the set An (BUC) me que contar con un po
Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, c, f, g}, B = {a, c, e, g}, and C = {b, e, g, i} List the elements of the set An (BUC) me que contar con un po
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Question 2
**Let the Universal set be the letters a through j:**
\[ U = \{a, b, \ldots, i, j\} \]
**Let \( A = \{ b, c, f, g \} \), \( B = \{ a, c, e, g \} \), and \( C = \{ b, e, g, i \} \)**
**List the elements of the set \( A \cap (B \cup C) \)**:
---
**Analysis:**
1. **Determine the Union \( B \cup C \):**
\[ B \cup C = \{ a, c, e, g \} \cup \{ b, e, g, i \} \]
Combining all unique elements, we obtain:
\[ B \cup C = \{ a, b, c, e, g, i \} \]
2. **Find the Intersection \( A \cap (B \cup C) \):**
\[ A = \{ b, c, f, g \} \]
Compare with \( B \cup C \):
\[ A \cap (B \cup C) = \{ b, c, f, g \} \cap \{ a, b, c, e, g, i \} \]
The common elements are:
\[ A \cap (B \cup C) = \{ b, c, g \} \]
**Answer: \(\{ b, c, g \}\)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6fffe07-0182-49b4-949f-7de773e92073%2F501bfb0d-9eed-4916-b650-25e76160a71a%2Fud7swio_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 2
**Let the Universal set be the letters a through j:**
\[ U = \{a, b, \ldots, i, j\} \]
**Let \( A = \{ b, c, f, g \} \), \( B = \{ a, c, e, g \} \), and \( C = \{ b, e, g, i \} \)**
**List the elements of the set \( A \cap (B \cup C) \)**:
---
**Analysis:**
1. **Determine the Union \( B \cup C \):**
\[ B \cup C = \{ a, c, e, g \} \cup \{ b, e, g, i \} \]
Combining all unique elements, we obtain:
\[ B \cup C = \{ a, b, c, e, g, i \} \]
2. **Find the Intersection \( A \cap (B \cup C) \):**
\[ A = \{ b, c, f, g \} \]
Compare with \( B \cup C \):
\[ A \cap (B \cup C) = \{ b, c, f, g \} \cap \{ a, b, c, e, g, i \} \]
The common elements are:
\[ A \cap (B \cup C) = \{ b, c, g \} \]
**Answer: \(\{ b, c, g \}\)**
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