Complex |z-1|<|z-i| (1 Viewer)

[murraysp]

Can someone please explain to me |z-1|<|z-i|. It is a region question. I do not understand whether it is to circles simultaneously or if you sub in x+iy. Any help would be great. Thanks

 

[ninetypercent]

Let z = x + iy



This is your region

 

[Affinity]

you cna read that inequation as the distance of z to 1 is less than its distance to i

or z is closer to 1 than i