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1. Let R be the relation on N defined by "aRb if EN or 5| (b- a)". So for example (6, 2) € R and (1,5) ¢ R . Decide if each of the following are true or false, and briefly justify each answer. (a) R is reflexive (b) R is symmetric Ris antisymmetric (d) R is transitive

1. Let R be the relation on N defined by "aRb if EN or 5| (b- a)". So for example (6, 2) € R and (1,5) ¢ R . Decide if each of the following are true or false, and briefly justify each answer. (a) R is reflexive (b) R is symmetric Ris antisymmetric (d) R is transitive

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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1. Let R be the relation on N defined by "aRb if EN or 5| (b – a)". So for example (6,2) € R and (1,5) ¢ R . Decide if each of the following are true or false, and briefly justify each answer. (a) R is reflexive (b) R is symmetric (c) R is antisymmetric (d) R is transitive
Transcribed Image Text:1. Let R be the relation on N defined by "aRb if EN or 5| (b – a)". So for example (6,2) € R and (1,5) ¢ R . Decide if each of the following are true or false, and briefly justify each answer. (a) R is reflexive (b) R is symmetric (c) R is antisymmetric (d) R is transitive
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