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

i was supposed to figure out what this region looks like ad to plot it

[tex] \left| \frac{z + i}{z - i} \right| > 1 [/tex]

2. Relevant equations

[itex] z = x + iy [/itex]

3. The attempt at a solution

i tried a couple of rearrangements but i got nowhere:

[tex] \left|z+i \right| > \left| z - i \right| [/tex]

getting:

[tex] \sqrt{ x^2 + (y+1)^2 } > \sqrt{ x^2 + (y-1)^2 } [/tex]

which ends up [tex] 4y > 0 [/tex]

is this it? simply y>0?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Plot complex region

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