Let Z be the set of integers and R be the relation on Z x Z defined by: Then R is (a,x)R(b, y) if and only if as - b5 is divisible by 13 and x = y. not a symmetric relation not a transitive relation O an equivalence relation not a reflexive relation
Let Z be the set of integers and R be the relation on Z x Z defined by: Then R is (a,x)R(b, y) if and only if as - b5 is divisible by 13 and x = y. not a symmetric relation not a transitive relation O an equivalence relation not a reflexive relation
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 Z be the set of integers and R be the relation on Z × Z defined by:
(a,x)R(b, y) if and only if a5 – b5 is divisible by 13 and x = y.
Then R is
not a symmetric relation
not a transitive relation
an equivalence relation
not a reflexive relation
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