Last edited by cub; Nov 2nd 2009 at 07:25 AM.
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Originally Posted by cub Hi, i'm having a bit of trouble with a couple of problems:
1. Define the relation ~ on R^2 by (x1,y1)~(x2,y2)<=>2(y1-y2)=(x1-x2). Show that ~ is an equivalence relation and describe geometrically the equivalence classes.
2. let ~ be an equivalence relation on Z such n~n+5 and n~n+8. prove that n~m for all n,m in Z. Can you show what work you have done thus far on these?
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For part 1 i know that i need to show that it is reflexive, symmetric and transitive to show that it is an equivalence relation. But i'm not sure how to go about doing that.
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