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5. Suppose x, y € Z. If x is even, then xy is

5. Suppose x, y € Z. If x is even, then xy is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Mathematical Reasoning Problems** **Problem 5:** Suppose \( x, y \in \mathbb{Z} \). If \( x \) is even, then \( xy \) is even. **Problem 7:** Suppose \( a, b \in \mathbb{Z} \). If \( a \mid b \), then \( a^2 \mid b^2 \). (Note: Problem 6 is crossed out and hence not included in the transcription.)
Transcribed Image Text:**Mathematical Reasoning Problems** **Problem 5:** Suppose \( x, y \in \mathbb{Z} \). If \( x \) is even, then \( xy \) is even. **Problem 7:** Suppose \( a, b \in \mathbb{Z} \). If \( a \mid b \), then \( a^2 \mid b^2 \). (Note: Problem 6 is crossed out and hence not included in the transcription.)
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