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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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