I posted a solution here:
https://www.beatthegmat.com/if-x-is-not- ... 65585.html
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If x is not equal to 0
Source: Beat The GMAT — Data Sufficiency |
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
For |x| to be less than 1, x must be greater than -1 and less than 1.rsarashi wrote:If x is not equal to 0, is |x| less than 1?
1) x/|x| < x
(2) |x| > x
OAC
Target question: -1 < x < 0 ?
(1) x/|x| < x
- If x is positive, then x/|x| = 1. So 1 < x. This would give us a "no" answer to the question.
- If x is negative, then x/|x| = -1. So -1 < x. But since x is negative, we can add: -1 < x < 0. This would give is a "yes" answer to the question.
If we get a "no" answer when x < 0 and a "yes" answer when x > 0, this is insufficient.
(2) |x| > x
If x were positive, it would be equal to |x|. So this is telling us that x must be negative. However, just knowing that it is negative is not enough to tell us whether |x| < 1. Insufficient.
Together:
Statement 2 tells us that x must be negative, so x/|x| = -1 ---> -1 < x < 0. This would give is a "yes" answer to the question.
Sufficient.
The answer is C.
Also, please always POST YOUR SOURCES. It is a copyright violation not to do so.
This question comes from Manhattan Prep CATs.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
