Thread: Partitions
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kathrynag
kathrynag is offline
#1
Oct3-10, 01:03 PM
P: 607
1. The problem statement, all variables and given/known data

Let R2 denote the usual (x, y)-plane. We can define a partition of R2 by using the
lines with slope 2. Describe the corresponding equivalence relation ∼ by giving the
conditions on the coordinates so that (x1, y1) ∼ (x2, y2).


2. Relevant equations



3. The attempt at a solution
I have we must have (y2-y1)/(x2-x1)=2
Then y2-y1=2x2-2x1
y2-2x2=y1-2x1
So x1=2x2?
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