Source: MGMAT CAT 5 number 12.

If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

OA is C, my answer is E.

It looks like this one has gotten quite a few attention, but I still don't know how it is resolved.

Here is how I understand it.

Rephrasing the question, is -1<x<1 (not including 0)

1. Two scenarios result depending on whether X is positive or negative
a. if X is positive then...
X/X<X
1<X

b. if x is negative then...
-X/X<-X
-1<-X
1>X

okay, from this statement, if you were to graph on a number link would be 1<X , X<1
INSUFFICIENT

2. This tells me that X is a negative, could be a negative number or negative fraction. INSUFFICIENT


3. Together, since statement 2 tells me that X is negative, then, the following scenario is accurate:
-X/X<-X
-1<-X
1>X

Okay, X is less than 1, but is it -1<x<1 ? There is no way of telling. Hence it is E. Not C.

Please help if you think my reasoning in incorrect

See response in MGMAT CAT

See this thread: http://www.manhattangmat.com/forums/absolute-value-ds-t2085.html

There's an error in your math. :)