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Prove that R is not reflexive.

Prove that R is not reflexive.

Advanced Engineering Mathematics
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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2. Consider the following relation on P the set of all polynomials with coeffients in R. Let R= {(f(t), g(t)) eP x P | f(2) < g(2)}- %3D (a) Show that (x2, x? + 1) E R. (b) Recall that [f(t)], is the class of a with respect to our relation R. Find two elements of [r]R.
Transcribed Image Text:2. Consider the following relation on P the set of all polynomials with coeffients in R. Let R= {(f(t), g(t)) eP x P | f(2) < g(2)}- %3D (a) Show that (x2, x? + 1) E R. (b) Recall that [f(t)], is the class of a with respect to our relation R. Find two elements of [r]R.
(c) Prove that R is not reflexive.
Transcribed Image Text:(c) Prove that R is not reflexive.
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