Question: Plotting regions in the complex plane

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 has to complete the square to get an equation of a circle or ellipse.  An example is |z-3| <= 2*|z+3| where one would substitute z=x+I*y to obtain 3x^2+30*x+3y^2+27 >=0 and then upon completing the square, we get (x+5)^2 + y^2 >= 16, giving a circle of centre (-5,0) and radius 4.

These obviously can be done by hand.

How would I do all these in Maple and plotting the line or circle or ellipse?

Thanks. :)