Plotting sets in $\Bbb R^2$ or $\Bbb C$ in some CAS Im curious about how to plot sets of $\Bbb R^2$ or $\Bbb C$ in some computer algebra systems, mainly sage, axiom, mathematica and maple, by order of preference.
To make the question not too broad it is enough for me just one example. How you can plot a set like
$$\{z\in\Bbb C: |z-3|<|z+2i|\}$$
in the above mentioned CAS. My interest is mainly sage and axiom, the other systems I put here optionally. 
Note: the above set was typed randomly. It is just an example to see how I can write the code. Thank you in advance!

In SageMath, we can use region_plot as follows:
sage: f = lambda x, y: (x-3)^2 + y^2 < x^2 + (y+2)^2
sage: f(3, 2)
True
sage: region_plot(f, (-5, 5), (-5, 5))
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Note that we would get the same plot for the "complex" version:
sage: g = lambda x, y: abs(x + i*y - 3) < abs(x + i*y + 2*i)
sage: region_plot(g, (-5, 5), (-5, 5))
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