Define a relation R on the set of all real numbers R as follows: For all x, y R, xRy x 2
Chapter 8, Problem 9(choose chapter or problem)
Define a relation R on the set of all real numbers \(\mathbf{R}\) as follows: For all x, y (\in \mathbf{R}\),
m R n \(\Leftrightarrow\) \(x^{2} \leq y^{2}\).
Is R a partial order relation? Prove or give a counterexample.
Text Transcription:
mathbf R
in mathbf R
Leftrightarrow
x^2 leq y^2
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