I'm trying to sketch the following sets in the complex plane:
For I found the real part of by setting and got:
I then set this = 1 to try and graph something from which I can determine the values that are < 1:
So I would have the top half of a circle starting at (0,0) and ending at (0,1), so my set would be drawn to represent [0,1) right?
The answer I have has a circle though with the equation and I'm not sure how this point was achieved?
b) I'm not sure how to proceed since is abitrary but is defined and I can plot it at (0,1), so I don't see how I can compare them.
Thanks
Wow, thanks!
a) I can see what you have done but it seems so convoluted; how would I have known to do that and why did you choose (did you choose it? or work it out somehow?)
b) I didn't understand the transition from line 3-4 (the jump from |...| to \sqrt...). Everythign leading up to it and following it is fine, just that step.
Ah yeh, this is the method that someone mentioned to me but they couldn't seem to explain my question. Shouldn't it be everything below and including the axis if you want numbers whos distance between and is the distance between and , i.e. all the numbers that are closer to (lesser or equal distance)? I assume I am misunderstanding something :S