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4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b) € R₁ if a divides b (b) on R: (a, b) € R₂ if a - b € Q (c) on N\ {1}: (a, b) = R3 if ged(a, b) 1

4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b) € R₁ if a divides b (b) on R: (a, b) € R₂ if a - b € Q (c) on N\ {1}: (a, b) = R3 if ged(a, b) 1

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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4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b) = R₁ if a divides b (b) on R: (a, b) € R₂ if a - b E Q (c) on N\ {1}: (a, b) = R3 if ged(a, b) #1 (d) on {1,2,3} given by R₁ = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}
Transcribed Image Text:4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b) = R₁ if a divides b (b) on R: (a, b) € R₂ if a - b E Q (c) on N\ {1}: (a, b) = R3 if ged(a, b) #1 (d) on {1,2,3} given by R₁ = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}
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