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If x is not equal to 0, is the absolute value of x less than

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julia.gilroy
 Post subject: If x is not equal to 0, is the absolute value of x less than
 Post Posted: Fri Jul 31, 2009 5:39 pm 
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Course Students


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

(1) x/|x|< x

(2) |x| > x

(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.


I am having difficulty understanding the provided explanation for statement 1. Why is it that if x<0, x> x/-x? If x<0, shouldn't the inequality be -x>-x/-x?


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www.mbachase.com
 Post subject: Re: If x is not equal to 0, is the absolute value of x less than
 Post Posted: Wed Aug 12, 2009 2:25 am 
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[Attention mbachase.com: we appreciate your desire to help GMAT students. Unfortunately, we don't host posts from competitors on our forums. If you'd like to offer free services to your students (and I think that's a great idea!), then you might consider starting your own forums. Good luck! Stacey]
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Ben Ku
 Post subject: Re: If x is not equal to 0, is the absolute value of x less than
 Post Posted: Tue Aug 18, 2009 1:48 pm 
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ManhattanGMAT Staff


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Hi Judy,

When dealing with absolute values, |x| = x if x is positive, and |x|=-x if x is negative.

If we look at (1), if x is negative, then x/(-x)< x, so -1 < x. I think the confusion is because the explanation switches the left and right sides, writing "x > x/-x", which of course is the same thing.

Hope that helps.

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Ben Ku
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ManhattanGMAT
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yousuf_azim
 Post subject: Re: If x is not equal to 0, is the absolute value of x less than
 Post Posted: Sat Sep 24, 2011 11:54 pm 
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Students


Posts: 45
Hello,

What is the ans?

BR
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StaceyKoprince
 Post subject: Re: If x is not equal to 0, is the absolute value of x less than
 Post Posted: Fri Nov 11, 2011 9:55 pm 
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ManhattanGMAT Staff


Posts: 6077
Location: San Francisco
the answer is C

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Stacey Koprince
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