Confusion about the boundary of a simple set

dimanche 31 août 2014

1. The problem statement, all variables and given/known data



Determine the boundary of the following set. As usual, z=(x,y).



[itex]0<\left| z-z_0 \right|<2[/itex]



2. The attempt at a solution



The book's solution says "The circle [itex]\left| z-z_0 \right|=2[/itex] together with the point (0,0)"



Why should the answer not be "... together with the point [itex]z_0[/itex]"?





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