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
![**Instructions:**
Use the definition below to select the statement that is false.
\[ A = \{ x \in \mathbb{Z} : x \text{ is even and } 4 < x < 17 \} \]
**Options:**
- ○ \( 4 \notin A \)
- ○ \( 6 \in A \)
- ○ \( 17 \notin A \)
- ○ \(|A| = 7\)
**Explanation:**
The set \( A \) consists of even integers \( x \) such that \( 4 < x < 17 \). This means the elements of \( A \) are the even numbers 6, 8, 10, 12, 14, and 16. There are 6 elements in set \( A \). The false statement is \(|A| = 7\), as the correct number of elements is 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a87bda2-77ee-4643-b996-8126adae9acf%2Fc5ffa1b9-0e98-46bc-8108-89e420737816%2F1k1rr6b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions:**
Use the definition below to select the statement that is false.
\[ A = \{ x \in \mathbb{Z} : x \text{ is even and } 4 < x < 17 \} \]
**Options:**
- ○ \( 4 \notin A \)
- ○ \( 6 \in A \)
- ○ \( 17 \notin A \)
- ○ \(|A| = 7\)
**Explanation:**
The set \( A \) consists of even integers \( x \) such that \( 4 < x < 17 \). This means the elements of \( A \) are the even numbers 6, 8, 10, 12, 14, and 16. There are 6 elements in set \( A \). The false statement is \(|A| = 7\), as the correct number of elements is 6.
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