- #1
rooski
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Homework Statement
For each of the relations on the set R x R - (0,0) (ie. no origin) :
- prove it is an equivalence
- give the # of equivalence cases
- give a geometric interpretation of the equivalence cases assuming an element of R x R is a point on a plane
a) {((a,b),(c,d)) | a/c > 0 and b/d > 0 }
b) {((a,b),(c,d)) | b/a = d/c }
The Attempt at a Solution
I don't even know how to start this question. :yuck:
I know the definition of equivalence means reflexivity, symmetry and transitivity. So how would i go about proving each of these on the set?