Q:

Squeezing the Term of a Convergent Sequence

I understand what squeezing the term theorem means, but when trying to prove the theorem, I am totally lost.
It begins with giving me:
$L \leq S_n \leq T_n$ (which I understand), 
but it implies $|S_n-L| \leq |T_n-L|$ which I cannot figure out how to prove.  I believe I will use the triangle inequality, but I need help.

A:

$$L\le Sn\le Tn$$
$$L-L\le Sn-L\le Tn-L$$
$$0\le Sn-L\le Tn-L$$
$$|Sn-L|\le |Tn-L|$$

