Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}. Show that R satisfies none of reflexivity, symmetry and transitivity.
Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}. Show that R satisfies none of reflexivity, symmetry and transitivity.
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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Transcribed Image Text:Let S be the set of all real numbers and let R be a relation in S, defined by
R = {(a, b) : a < b°}.
Show that R satisfies none of reflexivity, symmetry and transitivity.
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