You can treat the inequality sign just like equals sign and your algebra normal

Math - Absolute Value Equations & Inequalities

What this expression is trying to say is: A number called "X" must be bigger than something we know to be |3|. Whenever someone sees absolute value parameters around something (| |) it means that they must account for two possibilities:

1) the positive value of the absolute value parameter 
2) the negative value of the absolute value parameter

Because in an expression of absolute value |3| = 3 and |-3| is also = 3