For D = {1, 2, 3, 4, ..., 99}, find a counterexample to the claim, "For all æ, y € D, if æ mod 3 = y mod 3, then a? mod 9 = y? mod 9." y =
For D = {1, 2, 3, 4, ..., 99}, find a counterexample to the claim, "For all æ, y € D, if æ mod 3 = y mod 3, then a? mod 9 = y? mod 9." y =
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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discrete math
![For \( D = \{1, 2, 3, 4, \ldots, 99\} \), find a counterexample to the claim, "For all \( x, y \in D \), if \( x \mod 3 = y \mod 3 \), then \( x^2 \mod 9 = y^2 \mod 9 \)."
\[ x = \ \ \ \ \ \ y = \ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23afe9e0-d558-4f29-a475-77c743e5301e%2Fef910a71-fcc3-4ef8-96c4-7530e2ff6722%2Fazlfcx8_processed.png&w=3840&q=75)
Transcribed Image Text:For \( D = \{1, 2, 3, 4, \ldots, 99\} \), find a counterexample to the claim, "For all \( x, y \in D \), if \( x \mod 3 = y \mod 3 \), then \( x^2 \mod 9 = y^2 \mod 9 \)."
\[ x = \ \ \ \ \ \ y = \ \]
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