If you read an absolute value statement correctly, the "battle" is almost over.
"Ok, smarty", you might be thinking, "What does x + 2 mean then? Well, x + 2 = x  (2), right, so:
"What about x?" you ask? Well, x = x  0, so:
Let's solve the inequality "x  6 > 3", which is read "the distance from x to 6 is greater than 3".
Step 1: draw a number line and label "6". 

Step 2: Find the points a distance 3 units away from 6. 

Step 3: Since x must be farther than 3 units from 6, the shade the portions of the number line where x can be located. Here x < 3 or x > 9. This is the solution to the inequality. 

Solve the inequality x + 8 < 4. First, read this statement as "the distance from x to 8 is less than 4".
Step 1: Draw a number line and label "8". 

Step 2: Find the points a distance 4 units away from 8. 

Step 3: Since x must be closer than 4 units from 8, the shade the portion of the number line where x can be located. Here 12 < x < 4. This is the solution to the inequality. 

Solve the inequality 3x  6 < 9. First, read this statement as "the distance between 3x and 6 is less than 9".
Step 1: Draw a number line and label "6".  
Step 2: Find the points a distance 9 units away from 6.  
Step 3: From the diagram, 3 < 3x < 15  
Step 4: Solve this simple inequality.  1 < x < 5 