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Math Help - Sketching Complex Sets

  1. #1
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    Sketching Complex Sets

    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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  2. #2
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    Noting that \mbox{Im} \left( {z^2 } \right) = 2xy > 0\,\& \,\left| z \right| > 1 \Rightarrow \quad x^2  + y^2  > 1;
    Can you do the graph?
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  3. #3
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    Ye, thanks, I've got it now.
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