Hi!

I got stuck in an assignment in real analysis.

I have $\displaystyle \mid\mid f(x)-g(x)\mid-\mid f(x_0)-g(x_0)\mid\mid$ and I would like it to be less than or equal to

$\displaystyle \mid f(x)-f(x_0)\mid+\mid g(x)-g(x_0)\mid$

Can I do that, and if I can then why? Im assuming it has something to do with triangle inequality but...??

I hated absolute values back in the days and now it comes back biting me in my a##