- #1

- 45

- 0

## Main Question or Discussion Point

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.