# Math Help - metric space triangle inequality

1. ## metric space triangle inequality

Let (M,d) be a metric space. Define a new metric as $p(x,y)=\frac{d(x,y)}{1+d(x,y)}$ and prove that $p(x,z)\leq p(x,y)+p(y,z)$

**Sorry just had a huge breakthrough, this is now solved**