The set B is defined by { z is a complex number : Im(z^2) > 0 and |z| > 1 }. Sketch the set and state whether B is open and whether B is a domain.
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Noting that $\displaystyle \mbox{Im} \left( {z^2 } \right) = 2xy > 0\,\& \,\left| z \right| > 1 \Rightarrow \quad x^2 + y^2 > 1$; Can you do the graph?
Ye, thanks, I've got it now.
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