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#1 2007-06-24 04:51:27

rockysheedy
Member
Registered: 2006-06-11
Posts: 12

{straight lines} under the relation “ is parallel to” is an equivalenc

Set of all straight lines under the relation “ is parallel to” is an equivalence relation?
Topic:- Discrete Mathematics

Verify that the set of all straight lines under the relation “ is parallel to” is an equivalence relation?

Does any one has the stepwise solution of this problem?

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#2 2007-06-24 07:59:39

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: {straight lines} under the relation “ is parallel to” is an equivalenc

Sure, but first, have you tried it?  What does it mean to be an equivalence relation?  There are three parts, and for each part, what must you show?


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#3 2007-06-28 03:10:08

rockysheedy
Member
Registered: 2006-06-11
Posts: 12

Re: {straight lines} under the relation “ is parallel to” is an equivalenc

I did not had time to solve it. I wanted it for one day. Now, there is no need for the solution of this one. Now I have ample of time to understand the concept behind.

If incase I stuck up in that I will let you know.

Thanks a lot.

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