I'm getting stuck using triangle inequality I wrote$ | |z|−|3-2i| | \leq |z−(3-2i)|$ so $| |z| - \sqrt{13} | \leq |z−(3-2i)| \leq 4 $ or $-4 \leq |z| - \sqrt{13} \leq 4 $ which gives $\sqrt{13}-4 \leq |z| \leq \sqrt{13}+4$ but that lower bound is negative.. ? should I take the lower bound as 0 instead? When I drew a picture, I'm getting the lower limit for |z| to be $ 4 - \sqrt{13}$, what's going wrong here? I'm confused, why does triangle inequality give a different result?