(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey, hope that someone can be nice and help me describe this set:

|z+2| < |z+2i|

3. The attempt at a solution

z = x + iy

|z+2| < |z+2i|

sqrt((x+2)^2 + y^2) < sqrt(x^2 + (y+2)^2)

possible to do more?

The left side is the equation for a circle with center x = -2, y = 0 and the right side is the equation for a circle with center x = 0 and y = -2.

So the set is the circle described on the left side with radius less than the circle on the right side.

Is this correct?

And if I want to sketch the set?

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# Homework Help: Describe complex set

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