I need two proofs for complex inequalities.
1) |1-z|/z <2 or equal.
2) |1+z|/|z|>1/2 or equal
Proofs...of what? I think you have to describe the set of points on the (complex) plane that fulfill the given inequalities, so put and (I think an absolute value (modulus) is lacking in the denominator of the first one):
And we got a nice circle with center__ and radius__ . Now you try the second one.