- #1
- 45
- 1
For any metric ##(X, \rho)## and points therein, prove that ##|\rho(x, z) - \rho(y, u)| \leq \rho(x, y) + \rho(z, u)##.
I know that this will involve iterated applications of the triangle inequality...but I still need another hint on how to proceed.
I know that this will involve iterated applications of the triangle inequality...but I still need another hint on how to proceed.