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The set  is sketched below. Note that the origin does not belong to this set.   The boundary points are {(x_(1),x_(2)):x_(2)=+-x_(1),x_(1) > 0} It follows directly from the definition of a boundary point. Note that any open ball centered at the above mentioned points contains points of both the sets  and  U^(@).  The interior points are {(x_(1),x_(2)):|x_(2)| < x_(1),x_(1) > 0} This also follows directly from the definition of an interior point. Note that there exists an open ball centered at every  ... See the full answer