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These are questions asked by Chris

Hi.  I am supposed to sketch the set of points in the complex plane defined by


where <= is less than or equal to and I is the complex number.

By hand, we simply substitute z=x+I*y into the above inequality, expand and simplify to get


From here onwards, we sketch the straight line and shade the bottom region of the line.

In more challenging cases rather than getting a straight line, one...

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