help with complex variables

I was given the problem:

Sketch the following sets and determine which are domains:

(a) $\displaystyle \mid$z-2+*i*$\displaystyle \mid$ < 1

(b) $\displaystyle \mid$2z+3$\displaystyle \mid$ > 3

(c) *Im*(z) > 1

(d) *Im*(z) = 1

(e) 0 < or equal to arg(z) > or equal to pi/4 and z not equal to 0

(f) $\displaystyle \mid$z-f$\displaystyle \mid$ > or equal to $\displaystyle \mid$z$\displaystyle \mid$

I have no idea how to start this. I know you cannot show sketches on this, but can anyone give me ideas of what I am doing for this question?