No, I can't see what concerns you. The fundamental theorem of algebra tells us that every polynomial equation has a solution in the complex numbers. If we drop the constraint that our equation needs to be a polynomial equation, it is easy to construct examples which don't have a solution in the complex numbers. For example, [itex]\sin(|z|) = 2[/itex].But it is the clearest way to describe the issue, and I'm sure you can see the intent.
I don't see an issue here and I don't understand why you bring up inequalities in response to these statements about equations.
Also this is getting off topic. If you want to discuss it further, you should open a new thread or ask the mentors to fork our discussion from this thread.