Let R be the following relation on the set of real numbers: a Rb+ [a] = [b] , where [x] is the floor of x. The relation R is: (a) Reflexive, symmetric and antisymmetric (b) Reflexive, symmetric and not antisymmetric (c) Not Reflexive, symmetric and antisymmetric (d) Reflexive, not symmetric and antisymmetric
Let R be the following relation on the set of real numbers: a Rb+ [a] = [b] , where [x] is the floor of x. The relation R is: (a) Reflexive, symmetric and antisymmetric (b) Reflexive, symmetric and not antisymmetric (c) Not Reflexive, symmetric and antisymmetric (d) Reflexive, not symmetric and antisymmetric
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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![Let R be the following relation on the set of real numbers:
a Rb→ [a] = [b] , where [æ] is the floor of x.
The relation R is:
(a) Reflexive, symmetric and antisymmetric
(b) Reflexive, symmetric and not antisymmetric
(c) Not Reflexive, symmetric and antisymmetric
|(d) Reflexive, not symmetric and antisymmetric](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81b07aa0-5281-417c-b323-9ca91abcd14e%2Ff319f640-b67c-4a92-bb40-174c9bc0378b%2F9qkeas5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let R be the following relation on the set of real numbers:
a Rb→ [a] = [b] , where [æ] is the floor of x.
The relation R is:
(a) Reflexive, symmetric and antisymmetric
(b) Reflexive, symmetric and not antisymmetric
(c) Not Reflexive, symmetric and antisymmetric
|(d) Reflexive, not symmetric and antisymmetric
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