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.