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Is the relation ↖ an equivalence relation or not ??

I know we are supposed to prove that it is reflexive , transitive and symmetric . I found that it is an equivalence relation but i am not sure , so can you please take a look and tell me if it is correct or not ??

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Are you sure that it’s transitive? What if $a=0,b=10$, and $c=20$? – Brian M. Scott Nov 30 '12 at 12:45
Yes , you are right . It is not transitive in this case . Thank you so much. I appreciate your help. – user51287 Nov 30 '12 at 12:49
You’re welcome. – Brian M. Scott Nov 30 '12 at 13:02
@BrianM.Scott It seems your question/comment was "spot on." Perhaps you'd like to post an answer to the question? – amWhy Nov 30 '12 at 15:34
@amWhy: Done! $~$ – Brian M. Scott Nov 30 '12 at 19:59

HINT: Are you sure that it’s transitive? What if $a=0,b=10$, and $c=20$?

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Good enough for +1! – amWhy Nov 30 '12 at 20:03

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