the modulus is equivalent to the length so it must be positive
I'm not sure about this problem (see attachment) as I haven't come across one with a lower constaint. I think it just means the locus can't be below 0. If that's the case then I think I've done it correctly, but I have posted my working (see attachment) just to be sure.
I’m not sure how you found that the locus can not be equal to z=-i, if it has to do with the fact that 0<, and then it can’t equal –i, this was my original question, as I wasn’t sure about this. This just means then, the locus is the interior of the circle, centred at (0,-1) with radius 2 excluding z=-i. Is this correct?