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Question: 1 for the subset u x1x2 e r2 ...

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1. For the subset U = {(x1,x2) E R2 : x1+ > 4): (a) Find all interior points of U. For each interior point p, find a value of r for which the open ball Dr(p) lies inside U. (b) Find the set of all boundary points of U. Draw U in the plane, indicating the boundary points of U (c) Is U an open set? Why or why not? (d) Is U a closed set? Why or why not?
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