Hi rj2001,
We have
Firstly as you suggested subtract from both sides which gives,
Since the modulus sign implies that the "stuff" inside it is "turned" positive when negative and remains positive when positive this equation means two things. The first thing it means is that,
Subtracting from both sides gives
The second thing it means is
Now divide through by . When you divide through by in an inequality the inequality sign switches round (e.g. if then ). Since this is the case we are left with,
Thus we are left with