Proof the statement: e) If x and y are integers such that x³ (y + 5) is odd, then x is odd and y is even.
Proof the statement: e) If x and y are integers such that x³ (y + 5) is odd, then x is odd and y is even.
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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Transcribed Image Text:**Proof the statement:**
(e) If \( x \) and \( y \) are integers such that \( x^3(y + 5) \) is odd, then \( x \) is odd and \( y \) is even.
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It is proved by using method of contradiction.
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