Let R be the set of all real numbers and define a relation R on R R as follows: For all
Chapter 8, Problem 5(choose chapter or problem)
Let R be the set of all real numbers and define a relation R on \(\mathbf{R} \times \mathbf{R}\) as follows: For all (a, b) and (c, d) in \(\mathbf{R} \times \mathbf{R}\),
(a, b) R (c, d) \(\Leftrightarrow\) either a < c or both a = c and b \(\leq\) d.
Is R a partial order relation? Prove or give a counterexample.
Text Transcription:
mathbf R times mathbf R
Leftrightarrow
leq
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