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

|z+2|<=|z-I|

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

y<=-2x-1.5

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...