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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)}

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)}

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Part C and D please

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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