quick Q on complex numbers - need help ASAP!!

[VCE1996]

Hi people,

I was hoping somebody could help me out with this question..

Sketch the region in the complex plane consisting of all complex numbers z which satisfy both lzl>3 and -pi/3 < arg(z) < 3pi/4

If someone could show the relevant diagrams/working out that would really help me out!

Thanks 

[kinslayer]

is a circle centred at the origin (including the circle - solid line for the boundary).

is all of the complex numbers with an argument in that range. Draw a dotted line out from the origin in the direction of radians and another in the direction of radians. The region is every complex number between the two lines (so eg. the entire first quadrant is included).

Then the region you want is just the intersection of those two.