Ah! but they can. Using absolute values |3-i|<|3+2i|.
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The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
Without further information, the only inequality is x2 ≥ 0 (assuming x is real). In the complex domain, there is no inequality.
There is no inequality in the question!
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.