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

[Anne1276]

* I understand the rephrase and why this has to be true: -1 < x < 1
* BUT, I don't understand the manipulations of statement #1. Can you please help me understand:
o (1) INSUFFICIENT: If x > 0, this statement tells us that x > x/x or x > 1. If x < 0, this
statement tells us that x > x/-x or x > -1. This is not enough to tell us if -1 < x < 1.

THANKS!

[Anne1276]

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

(1) x / |x| < x

(2) |x| > x

[StaceyKoprince]

Hi, please remember to cite the name of the company that produced this test (even if it's us!).

[Anne1276]

MGMAT CAT 1 question 22:

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

(1) x/|x| < x

(2) |x| > x

[StaceyKoprince]

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

(1) x/|x| < x

(2) |x| > x

The manipulations for statement 1 have to do with the rule that when you multiply or divide an inequality by a negative number, you have to switch the direction of the sign. This is an important rule to remember for difficult questions (and they like to use it on DS in particular).

Take a look again and see if you can figure out what's going on based upon the above statement - I'd like you to be able to work through this one out on your own if you can b/c you'll remember it better for the test if you can do so. But come back and let us know if you still have questions.

[Anne1276]

Ok, I understand now. Thanks!