Rules:

        If C is a positive number, then

  |Ax+B| < C           |             |Ax+B| > C 
                       |
is equivalent to       |          is equivalent to
                       |
 -C < Ax+B < C         |        Ax+B < -C  OR Ax+B > C

       [Same rules for < and >]

===================================================

 |x-2| < 
 
is equivalent to

 < x-2 < 

Multiply all three sides by 2

     -1 < 2x-4 < 1

Add 4 to all three sides:

  -1+4 < 2x-4+4 < 1+4
    
       3 < 2x < 5

Divide all three sides by 2

       <  < 

       < x < 
    
Interval notation is

         (, )


Edwin