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A = {xe Zx is odd} B = {2, 3, 5, 6, 9, 14} C = {xEZ:4≤ x ≤ 12} Select the set corresponding to (An B) UC. (2, 3, 5, 6, 7, 9, 11} {2, 3, 5, 6, 7, 9, 11, 13} {x €Z:3≤ x ≤ 12} °{xEZ:2≤ x ≤ 12} MacBook Pro

A = {xe Zx is odd} B = {2, 3, 5, 6, 9, 14} C = {xEZ:4≤ x ≤ 12} Select the set corresponding to (An B) UC. (2, 3, 5, 6, 7, 9, 11} {2, 3, 5, 6, 7, 9, 11, 13} {x €Z:3≤ x ≤ 12} °{xEZ:2≤ x ≤ 12} MacBook Pro

Advanced Engineering Mathematics
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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Discrete Math
The image presents a mathematical problem related to set theory. Here's a transcription and explanation: **Given Sets:** - \( A = \{ x \in \mathbb{Z}^+ : x \text{ is odd} \} \) - This set consists of all positive odd integers. - \( B = \{ 2, 3, 5, 6, 9, 14 \} \) - This set is a specific collection of integers. - \( C = \{ x \in \mathbb{Z} : 4 \leq x \leq 12 \} \) - This set includes all integers \( x \) such that \( 4 \leq x \leq 12 \). **Problem Statement:** - Select the set corresponding to \((A \cap B) \cup C\). **Choices:** 1. \{2, 3, 5, 6, 7, 9, 11\} 2. \{2, 3, 5, 6, 7, 9, 11, 13\} 3. \(\{ x \in \mathbb{Z} : 3 \leq x \leq 12 \}\) 4. \(\{ x \in \mathbb{Z} : 2 \leq x \leq 12 \}\) **Explanation:** - \( A \cap B \) is the set of elements that are both in \( A \) and \( B \). Since \( A \) contains all odd positive integers, \( A \cap B = \{3, 5, 9\} \). - The union \((A \cap B) \cup C\) combines the elements from \( A \cap B \) with those in \( C \), avoiding duplicates. Steps to find the result: 1. \( A \cap B = \{3, 5, 9\} \) 2. \( C = \{4, 5, 6, 7, 8, 9, 10, 11, 12\} \) 3. \((A \cap B) \cup C = \{3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}
Transcribed Image Text:The image presents a mathematical problem related to set theory. Here's a transcription and explanation: **Given Sets:** - \( A = \{ x \in \mathbb{Z}^+ : x \text{ is odd} \} \) - This set consists of all positive odd integers. - \( B = \{ 2, 3, 5, 6, 9, 14 \} \) - This set is a specific collection of integers. - \( C = \{ x \in \mathbb{Z} : 4 \leq x \leq 12 \} \) - This set includes all integers \( x \) such that \( 4 \leq x \leq 12 \). **Problem Statement:** - Select the set corresponding to \((A \cap B) \cup C\). **Choices:** 1. \{2, 3, 5, 6, 7, 9, 11\} 2. \{2, 3, 5, 6, 7, 9, 11, 13\} 3. \(\{ x \in \mathbb{Z} : 3 \leq x \leq 12 \}\) 4. \(\{ x \in \mathbb{Z} : 2 \leq x \leq 12 \}\) **Explanation:** - \( A \cap B \) is the set of elements that are both in \( A \) and \( B \). Since \( A \) contains all odd positive integers, \( A \cap B = \{3, 5, 9\} \). - The union \((A \cap B) \cup C\) combines the elements from \( A \cap B \) with those in \( C \), avoiding duplicates. Steps to find the result: 1. \( A \cap B = \{3, 5, 9\} \) 2. \( C = \{4, 5, 6, 7, 8, 9, 10, 11, 12\} \) 3. \((A \cap B) \cup C = \{3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}
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