|x-2| > 10   To remove absolute value bars write this way:

x-2 < -10 OR x-2 > 10    The word "OR" must be between them. Solve each    
  x < -8  OR   x > 12

The solution is     x < -8  OR   x > 12
  
The graph of solution is this:

<=======o----------------o=========>  
       -8               12  

The interval notation for the solution is this:

    (,-8) U (12,) 

Edwin