See answer: In 1931, (1) prove that the relation is an equivalence relation, and (2)
Chapter 8, Problem 31(choose chapter or problem)
In 19–31, (1) prove that the relation is an equivalence relation, and (2) describe the distinct equivalence classes of each relation.
Let P be the set of all points in the Cartesian plane except the origin. R is the relation defined on P as follows: For all \(p_{1} \text { and } p_{2}\) in P,
\(p_{1} R p_{2}\) \(\Leftrightarrow\) \(p_{1} \text { and } p_{2}\) lie on the same half-line emanating from the origin.
Text Transcription:
p_1 and p_2
p_1 R p_2
Leftrightarrow
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