Prove that $|x|\to | l |$

Prove that $|x|\to | l |$

$\lim_{n\to\infty}\ X= l$. How to prove that $|X|\to|l|$ ?
I started with: Given $\epsilon>0$, there exists $\ K(\epsilon)$ is an
element of natural number such that $|X-l|<\epsilon$ for all n>$\
K(\epsilon)$
$|X-l|<\epsilon$
By tiangle inequalities,$|X-l|<|X|+|l|$.
I do not know how to proceed.Is it correct?