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2. Define the relation on S = Z by a~b + a = b mod 5. (1) Prove that is an equivalence relation. (2) Find all equivalence classes of ~.

2. Define the relation on S = Z by a~b + a = b mod 5. (1) Prove that is an equivalence relation. (2) Find all equivalence classes of ~.

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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2. "Define the relation ~ on S = Z by a ~b + a = b mod 5. (1) Prove that ~ is an equivalence relation. (2) Find all equivalence classes of ~.
Transcribed Image Text:2. "Define the relation ~ on S = Z by a ~b + a = b mod 5. (1) Prove that ~ is an equivalence relation. (2) Find all equivalence classes of ~.
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