Quants practice for CAT 2009

Find the value of x from the equation given below:

| x + 1 | - | x | + 3| x - 1 | - 2| x - 2 | = x + 2

1.   {-2} U (2, infinity)
2.   [2, infinity)
3.   (- infinity, -2)
4.   {-2} U [2, infinity)

For solution and more such problems see mindinsight problem of the day