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Sketch the sets of complex numbers that would satisfy the following equation:

|z| > 3

Explain in detail how the graph will look like. Thanks.

  • math -

    |z| is the length of the line from (0,0) to z. So, if that length is always 3, then |z| = 3 describes a circle of radius 3, centered at (0,0).

    What you have is the entire complex plane outside the circle, where |z| > 3.

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