Can someone show me how to do the following proof using mathematical induction:

Assuming that the triangle inequality |a+b| $\displaystyle \leq$ |a|+|b| holds for any two numbers a and b, show that

|$\displaystyle x_{1}+x_{2}+...+x_{n}$| $\displaystyle \leq$ |$\displaystyle x_{1}$|+|$\displaystyle x_{2}$|+...+|$\displaystyle x_{n}$|

for any n numbers.

Thank you.