Convergence Proof: |a_n| Converges to 0 if a_n Converges to 0

[applied]

Hi,

Here's another question from my analsysi HW. I get that the two sequences are equal but I'm not sure how to write it out. Any help would be great.
Thanks.

Homework Statement

Prove that a sequence ${a_n}$ converges to 0 iff the sequence ${\lvert a_n\rvert}$ converges to 0.

Homework Equations

The Attempt at a Solution

 

[estro]

If $a_n \rightarrow 0$ you know that after some n $|a_n|\leq \epsilon/2$

So what can you tell?

Please show your attempt. [This is as close to trivial as it can be]