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We have the following relations:

$$S_1=\{(x,y) \in Z^2:x+y>1 \text{ and } x>0 \}$$

$$S_2=\{(x,y) \in P^2:x+y>1 \text{ and } x>0 \}$$

We have to make the graph for each occasion. My question is, what is the difference between these two graphs i am a little confused on how to graph them

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  • $\begingroup$ You need to tell us what $P$ is. Positive integers? $\endgroup$
    – rogerl
    Dec 5, 2015 at 18:41
  • $\begingroup$ is a projective space $P^2$ $\endgroup$
    – Legolas
    Dec 5, 2015 at 19:19
  • $\begingroup$ I'm more than a little confused. How are you defining $P^2$ that it would be natural to say $(x, y) \in P^2$? Standard definitions of $P^2$ have its elements as being equivalence classes of points in $\Bbb R^3$. So even if you meant a point in one of those classes, you are still a coordinate short. And how are you defining summation and order in this situation? The question doesn't make sense. Are your sure it is the projective plane? $\endgroup$
    – Paul Sinclair
    Dec 5, 2015 at 20:41
  • $\begingroup$ if it is positive integers how we can graph these two occasions? $\endgroup$
    – Legolas
    Dec 6, 2015 at 12:03

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