Consider the sets: A = {m € Z|m = 6k + 9 for some k ɛ Z} B = {m € Z[m = 3w for some w€ Z}

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Consider the sets:**

\[ A = \{ m \in \mathbb{Z} | m = 6k + 9 \text{ for some } k \in \mathbb{Z} \} \]

\[ B = \{ m \in \mathbb{Z} | m = 3w \text{ for some } w \in \mathbb{Z} \} \]

Is \( A \subseteq B \)? Is \( B \subseteq A \)? Is \( A = B \)? Justify your answer below using a proof.
Transcribed Image Text:**Consider the sets:** \[ A = \{ m \in \mathbb{Z} | m = 6k + 9 \text{ for some } k \in \mathbb{Z} \} \] \[ B = \{ m \in \mathbb{Z} | m = 3w \text{ for some } w \in \mathbb{Z} \} \] Is \( A \subseteq B \)? Is \( B \subseteq A \)? Is \( A = B \)? Justify your answer below using a proof.
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