(a) x + y = 0 r+ y= 0 A. symmetric B. transitive C. reflexive D. antisymmetric (b) xy > 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Given the following relations on the set of all integers where (x,y)∈R(x,y)∈R if and only if the following is satisfied. (Check ALL correct answers from the following lists ):

(a) x + y = 0
A. symmetric
B. transitive
C. reflexive
D. antisymmetric
(b) xy > 1
A. antisymmetric
B. reflexive
C. transitive
D. symmetric
Transcribed Image Text:(a) x + y = 0 A. symmetric B. transitive C. reflexive D. antisymmetric (b) xy > 1 A. antisymmetric B. reflexive C. transitive D. symmetric
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