Question 2: I believe this is just basic triangular equality. Let B represent |z1|, C represent |z1+z2| and A represent the origin. Now, Length BC is given by |z2|. So, applying the triangular inequality, |z1+z2|+|z2|>|z1|, so |z1+z2|>|z1|-|z2| (sum of two sides of a triangle is greater than...