(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Describe complex set

**Physics Forums | Science Articles, Homework Help, Discussion**