I was given the problem:

Sketch the following sets and determine which are domains:

(a) z-2+i< 1

(b) 2z+3 > 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) z-f > or equal to z

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?