1. The problem statement, all variables and given/known data prove that sqrt2|z| greater than or equal to |Rez| + |Imz| 2. Relevant equations |z|^2 = x^2 + y^2 Rez=x, Imz=y 3. The attempt at a solution so far I've worked it down to this. 2(x^2 + y^2) greater than or equal to x^2 + 2xy + y^2 I've used a few different values for x and y and it holds true but i don't know if that right or that's how it should be written. any input would be appreciated.