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?