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(d) A = {1,3, 5, 7,9}, B = {a | a E Z and 0 < a2 < 100 and x is odd} %3D (e) A = {1,3, 5, 7,9}, B = {x | a = 2k + 1 for some integer k such that 0

(d) A = {1,3, 5, 7,9}, B = {a | a E Z and 0 < a2 < 100 and x is odd} %3D (e) A = {1,3, 5, 7,9}, B = {x | a = 2k + 1 for some integer k such that 0

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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D, E, and F

**Problem 4: Set Relations** For every given pair of sets \( A \) and \( B \) below, determine whether \( A = B \), or \( A \subset B \), or \( B \subset A \), or none of these relations is true. **Example:** Given: \( A = \{1, 2, 3\} \), \( B = \{1, 2, 3, 4, 5, 6\} \). Answer: \( A \subset B \). Given: \( A = \{1, 2, 3\} \), \( B = \{1, 2, 4, 5, 6\} \). Answer: None is true. **Sets to Evaluate:** (a) \( A = \{1, 2, 3\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } x > -1\} \) (b) \( A = \{1, 4, 6\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 0 < x < 5 \text{ and } x \text{ is a perfect square}\} \) (c) \( A = \{x \mid x \in \mathbb{Z} \text{ and } x \text{ is even}\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 11 < x^2 < 20\} \) (d) \( A = \{1, 3, 5, 7, 9\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 0 < x^2 < 100 \text{ and } x \text{ is odd}\} \) (e) \( A = \{1, 3, 5, 7, 9\} \), \( B = \{x \mid x = 2k + 1 \text{ for some integer } k \text{ such that } 0 \leq k \leq 4\} \) (f) \( A = \{1, 4,
Transcribed Image Text:**Problem 4: Set Relations** For every given pair of sets \( A \) and \( B \) below, determine whether \( A = B \), or \( A \subset B \), or \( B \subset A \), or none of these relations is true. **Example:** Given: \( A = \{1, 2, 3\} \), \( B = \{1, 2, 3, 4, 5, 6\} \). Answer: \( A \subset B \). Given: \( A = \{1, 2, 3\} \), \( B = \{1, 2, 4, 5, 6\} \). Answer: None is true. **Sets to Evaluate:** (a) \( A = \{1, 2, 3\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } x > -1\} \) (b) \( A = \{1, 4, 6\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 0 < x < 5 \text{ and } x \text{ is a perfect square}\} \) (c) \( A = \{x \mid x \in \mathbb{Z} \text{ and } x \text{ is even}\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 11 < x^2 < 20\} \) (d) \( A = \{1, 3, 5, 7, 9\} \), \( B = \{x \mid x \in \mathbb{Z} \text{ and } 0 < x^2 < 100 \text{ and } x \text{ is odd}\} \) (e) \( A = \{1, 3, 5, 7, 9\} \), \( B = \{x \mid x = 2k + 1 \text{ for some integer } k \text{ such that } 0 \leq k \leq 4\} \) (f) \( A = \{1, 4,
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