Hi everyone

I need some help in seeing this complex exercice. The question is : "what does the following expression represent (graphic representation) : |z-3| >= 2|z-4i| ?"

I tried to resolve this thing and this is how i begin

|z-3| >= 2|z-4i|

with z = (x+yi)

=> |(x+yi-3)|>= 2|(x+yi-4i)|

=> [(x²+(yi)²-(3)²]^1/2 >= [2 (x²+(y-4)²]^1/2

Is the begining right ?

Someone can help me ?