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For x, Y E JR, let X ~ Y mean that xy > O. Which properties of an equivalence relation
Chapter 9, Problem 9.9(choose chapter or problem)
QUESTION:
For x, Y E JR, let X ~ Y mean that xy > O. Which properties of an equivalence relation does ~satisfy? Answer the same question with X Y ~ 0 in place of.xy > O.
Questions & Answers
QUESTION:
For x, Y E JR, let X ~ Y mean that xy > O. Which properties of an equivalence relation does ~satisfy? Answer the same question with X Y ~ 0 in place of.xy > O.
ANSWER:Step 1 of 3
For the, let such that .
Consider that and . This suggest that is not reflexive.
Consider that then, . The product on is commutative and xy=yz. It can be concluded that yx>0 and have as symmetric.