Let R be a relation on the set of all non-negative integers defined by aRb if and only if a3 - b3 is divisible by 4. Then O None of these O Ris transitive but not reflexive O Ris symmetric but not transitive O Ris reflexive but not symmetric Ris an equivalence relation 0耳

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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google.com/forms/d/e/1FAlpQLSdXe6Plpw2mluls1 ne_GPNsS7vWwYmbORq8M3cUuRCXoh9esw/formRe
O Such an incidence is impossible to occur
By Pigeonhole principle, such an incidence is false
Let R be a relation on the set of all non-negative integers defined by
aRb if and only if a3 - b3 is divisible by 4.
Then
None of these
R is transitive but not reflexive
Ris symmetric but not transitive
Ris reflexive but not symmetric
Ris an equivalence relation
Transcribed Image Text:mination google.com/forms/d/e/1FAlpQLSdXe6Plpw2mluls1 ne_GPNsS7vWwYmbORq8M3cUuRCXoh9esw/formRe O Such an incidence is impossible to occur By Pigeonhole principle, such an incidence is false Let R be a relation on the set of all non-negative integers defined by aRb if and only if a3 - b3 is divisible by 4. Then None of these R is transitive but not reflexive Ris symmetric but not transitive Ris reflexive but not symmetric Ris an equivalence relation
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