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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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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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