posted by Rinchan on .
Sketch the sets of complex numbers that would satisfy the following equation:
|z| > 3
Explain in detail how the graph will look like. Thanks.
|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.