Given the following relations on the set of all integers where (x, y) ER if and only if the following is satisfied. (Check ALL correct answers from the following lists); (a) x+y=0 A. reflexive B. irreflexive C. antisymmetric D. symmetric DE. transitive (b) ay is an integer A. reflexive B. symmetric C. antisymmetric D. irreflexive DE. transitive (c) x = 2y DA. antisymmetric B. transitive C. reflexive D. irreflexive E. symmetric (d) xy > 1 A. symmetric B. antisymmetric C. reflexive D. transitive E. irreflexive 28°F

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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Given the following relations on the set of all integers where (x,y) E R if and only if the following is satisfied. (Check ALL correct answers from the following lists):
(a) x + y = 0
A. reflexive
B. irreflexive
C. antisymmetric
D. symmetric
DE. transitive
(b) I-y is an integer
A. reflexive
B. symmetric
C. antisymmetric
D. irreflexive
E. transitive
(c) x = 2y
A. antisymmetric
B. transitive
C. reflexive
D. irreflexive
E. symmetric
(d) xy > 1
00000
A. symmetric
B. antisymmetric
C. reflexive
D. transitive
E. irreflexive
28°F
Transcribed Image Text:Given the following relations on the set of all integers where (x,y) E R if and only if the following is satisfied. (Check ALL correct answers from the following lists): (a) x + y = 0 A. reflexive B. irreflexive C. antisymmetric D. symmetric DE. transitive (b) I-y is an integer A. reflexive B. symmetric C. antisymmetric D. irreflexive E. transitive (c) x = 2y A. antisymmetric B. transitive C. reflexive D. irreflexive E. symmetric (d) xy > 1 00000 A. symmetric B. antisymmetric C. reflexive D. transitive E. irreflexive 28°F
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