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2020-02-02 21:31:27 +0200 asked a question Plot all complex numbers, for which a predicate holds

How do I solve the following exercise in SageMath?

Outline (in the complex number plane) all numbers z in ℂ, for which abs(z+2)^2 > abs(z-2*I)^2+1 holds.

So, I figured the first step is to actually solve the inequation:

sage: sol=solve(abs(z+2)^2 > abs(z-2*I)^2+1, z) #0: solve_rat_ineq(ineq=(_SAGE_VAR_z+2)^2 > abs(_SAGE_VAR_z-2*%i)^2+1)
sage: sol
 [[z < (2*I), (4*I + 4)*z + 7 > 0],
 [z == (2*I), (8*I - 1) > 0],
 [(2*I) < z, (4*I + 4)*z + 7 > 0]]

Okay, first, how do I interpret this solution? Every element in the list is a list of terms that must all hold? And of course, how can I now plot all those solutions?