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- Trying to show R^2 -{p,q} is connected.

Are there "nice" ( without heavy machinery) proofs that ## X:=R^2 - \{p,q\} ## is connected? All I can think is using that path-connectedness implies connectedness. So we consider x,y in X and show there is a path joining them. I am looking for an argument at undergrad level, so that I would not have to prove , as in here, that path-connectedness implies connectedness.

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