\(x/|x|\) \(< X\) can be negative or positive based on the value of X.
if X is positive, for example
2/2 <2 -- CORRECT for any value of X > 1 (Dont be carried away with this answer, this is GMAT be alert, most of GMAT questions will not be this easy, there will be a trick hidden inside
Also, if X is negative, for example,
-.2/.2 <-.2 , but it cannot be -2/2 < -2 so CORRECT for any value of X > -1
here combining both X should be X>-1