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

Sketch the graph

|Re(z)|>2

2. Relevant equations

z=x+iy

3. The attempt at a solution

|Re(z)|>2

|Re(x+iy)|>2

|x|>2

|x-0|>2, this is a circle centered at zero with radius 2

4. My question

What I'm having a hard time with is the | | notation.

Is this the absolute value, or modulus, or something else.

Wolfram Alpha says its an absolute value graph (that I understand) but my books says this is the form of a circle. Which is it?

http://www.wolframalpha.com/input/?i=|Re(z)|>2

I graphed a circle on my paper r=2 at (0,0) but I don't know which part to shade, the inside of the circle or the outside? How can I plug in numbers to test True and False? I know how to graph inequalities in real but complex I'm having trouble with.

Thanks.

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# Homework Help: Complex analysis, graph inequality

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