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6. Given the following relations on the set of all integers where (z,y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists): (a) x+y=0 OA. irreflexive B. symmetric OC. reflexive OD. transitive E. antisymmetric (b) z-y is an integer A. reflexive B. symmetric OC. transitive OD. irreflexive OE. antisymmetric (C) x = 2y Asymmetric

6. Given the following relations on the set of all integers where (z,y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists): (a) x+y=0 OA. irreflexive B. symmetric OC. reflexive OD. transitive E. antisymmetric (b) z-y is an integer A. reflexive B. symmetric OC. transitive OD. irreflexive OE. antisymmetric (C) x = 2y Asymmetric

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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Discrete Math: Relations

6. Given the following relations on the set of all integers where (z,y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists): (a) x+y=0 OA. irreflexive B. symmetric OC. reflexive OD. transitive E. antisymmetric (b) z-y is an integer A. reflexive B. symmetric OC. transitive OD. irreflexive OE. antisymmetric (C) x = 2y A. symmetric B. reflexive C. transitive OD. irreflexive E. antisymmetric (d) ry > 1 A. reflexive B. antisymmetric OC. irreflexive OD. transitive OE. symmetric
Transcribed Image Text:6. Given the following relations on the set of all integers where (z,y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists): (a) x+y=0 OA. irreflexive B. symmetric OC. reflexive OD. transitive E. antisymmetric (b) z-y is an integer A. reflexive B. symmetric OC. transitive OD. irreflexive OE. antisymmetric (C) x = 2y A. symmetric B. reflexive C. transitive OD. irreflexive E. antisymmetric (d) ry > 1 A. reflexive B. antisymmetric OC. irreflexive OD. transitive OE. symmetric
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