Let A = {2n : n e N}, and B = {n E Z : n² is even}. Neither set is a subset of the other. O AC B. O AC B, andB A. ВСА.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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### Understanding Set Relationships: An Example

Consider the following sets:

\[ A = \{2n : n \in \mathbb{N}\} \]
\[ B = \{n \in \mathbb{Z} : n^2 \text{ is even}\} \]

Determine the relationship between these two sets. Select the correct option below:

1. \( \circ \) Neither set is a subset of the other.
2. \( \circ \) \( A \subset B \).
3. \( \circ \) \( A \subseteq B \), and \( B \subseteq A \).
4. \( \circ \) \( B \subset A \).
Transcribed Image Text:### Understanding Set Relationships: An Example Consider the following sets: \[ A = \{2n : n \in \mathbb{N}\} \] \[ B = \{n \in \mathbb{Z} : n^2 \text{ is even}\} \] Determine the relationship between these two sets. Select the correct option below: 1. \( \circ \) Neither set is a subset of the other. 2. \( \circ \) \( A \subset B \). 3. \( \circ \) \( A \subseteq B \), and \( B \subseteq A \). 4. \( \circ \) \( B \subset A \).
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