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

Graph the inequality: |z-1|<|z| where z=x+iy {i is the imaginary number: (-1)^.5}

2. Relevant equations

for complex #'s z and w,

|w+z|<or=|w|+|z|

|z-w|>or=|z|-|w|

3. The attempt at a solution

|z|-|1|<or=|z-1|<|z| { if we consider 1 to be complex i.e 1=1+0i}

=>|z|-1<|z|

=>-1<0

I have no idea how to graph this last inequality. Isn't it just a true statement in general?

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# Homework Help: Graphing a complex inequality

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