Two sets or one? Let N be the set of all counting numbers: 1, 2, 3, .... Consider these set definitions: A = {x €N| (2 < x) ^ (x < 5)} and B = {2,3, 4, 5} Is the equality A = B true? Yes, it is true. No, it is not true. We need more information in order to decide. Not counting N, are we dealing with two sets or one set in this problem? One set, Two sets.
Two sets or one? Let N be the set of all counting numbers: 1, 2, 3, .... Consider these set definitions: A = {x €N| (2 < x) ^ (x < 5)} and B = {2,3, 4, 5} Is the equality A = B true? Yes, it is true. No, it is not true. We need more information in order to decide. Not counting N, are we dealing with two sets or one set in this problem? One set, Two sets.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Two sets or one?**
Let ℕ be the set of all counting numbers: 1, 2, 3, …. Consider these set definitions:
\[ A = \{ x \in \mathbb{N} \mid (2 \le x) \land (x \le 5) \} \]
and
\[ B = \{ 2, 3, 4, 5 \} \]
Is the equality \( A = B \) true?
- ○ Yes, it is true.
- ○ No, it is not true.
- ○ We need more information in order to decide.
Not counting ℕ, are we dealing with two sets or one set in this problem?
- ○ One set.
- ○ Two sets.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd84c1829-b5be-42b1-ba72-3bae7a546286%2F866b3026-5e68-4b01-9a8c-e1bbee0ac9b9%2F261j35_processed.png&w=3840&q=75)
Transcribed Image Text:**Two sets or one?**
Let ℕ be the set of all counting numbers: 1, 2, 3, …. Consider these set definitions:
\[ A = \{ x \in \mathbb{N} \mid (2 \le x) \land (x \le 5) \} \]
and
\[ B = \{ 2, 3, 4, 5 \} \]
Is the equality \( A = B \) true?
- ○ Yes, it is true.
- ○ No, it is not true.
- ○ We need more information in order to decide.
Not counting ℕ, are we dealing with two sets or one set in this problem?
- ○ One set.
- ○ Two sets.
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