Plotting Complex Region: y > 0

[Mechdude]

Homework Statement

i was supposed to figure out what this region looks like ad to plot it
\left| \frac{z + i}{z - i} \right| > 1

Homework Equations

z = x + iy

The Attempt at a Solution

i tried a couple of rearrangements but i got nowhere:
\left|z+i \right| > \left| z - i \right|
getting:
\sqrt{ x^2 + (y+1)^2 } > \sqrt{ x^2 + (y-1)^2 }

which ends up 4y > 0
is this it? simply y>0?

 

[annoymage]

i think, I am not sure, but try something like this

|a| > |b|

=> a > |b| or a < -|b|

=> -a < b < a or a < b < -a

=> (b > -a and b < a ) or (b > a and b < -a)

and plot