Given the following relations on the set of all integers where (x, y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists ): (a) x + y = 0 A. none of these B. transitive C. reflexive D. symmetric (b) x - y is an integer A. transitive B. symmetric C. none of these D. reflexive (c) x = 2y A. none of these B. reflexive

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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C has the same options as a and b

Given the following relations on the set of all integers where (x, y) = R if and only if the
following is satisfied. (Check ALL correct answers from the following lists ):
(a) x + y = 0
A. none of these
B. transitive
C. reflexive
D. symmetric
(b) x - y is an integer
A. transitive
B. symmetric
C. none of these
D. reflexive
(c) x = 2y
A. none of these
B. reflexive
Transcribed Image Text:Given the following relations on the set of all integers where (x, y) = R if and only if the following is satisfied. (Check ALL correct answers from the following lists ): (a) x + y = 0 A. none of these B. transitive C. reflexive D. symmetric (b) x - y is an integer A. transitive B. symmetric C. none of these D. reflexive (c) x = 2y A. none of these B. reflexive
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