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zenzigler
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X/|X| < X. Which of hte following must be true about X? 09 Apr 2007, 04:03
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6. X/|X| 1
b) x>-1
c) |x| 1

According to GMAT club's answer sheet, the answer is b. How is this possible? If X = 0 then the equation cannot be solve and if X=1 then 1=1, which breaks the all true rule about X. The answer should be A.

I don't know if the answer is wrong or the question is worded incorrectly.

If anyone from the GMAT Club is reading this, please clarify. Thanks!!!



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X/|X| < X. Which of hte following must be true about X? 09 Apr 2007, 12:10
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answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.
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Fig
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X/|X| < X. Which of hte following must be true about X? 09 Apr 2007, 12:17
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First of all.... Welcome to the GMATClub ! :D :)

(B) it is :)

X/|X| < X
<=> X < X*|X| as |X| > 0 and x must be different to 0.
<=> X - X*|X| < 0
<=> X*(1-|x|) < 0

implies that:
o x <0 and 1-|x| > 0 <=> |x| < 1
or
o x > 0 and 1-|x| < 0 <=> |x| > 1

so,
o -1 < x < 0
or
o x > 1

In other words, x must be superior to -1
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X/|X| < X. Which of hte following must be true about X? 09 Apr 2007, 16:25
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saikadelik
answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.
Show more


But it fails for x=0.So the answer cannot be B

A makes sense.
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X/|X| < X. Which of hte following must be true about X? 09 Apr 2007, 23:42
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goalsnr
saikadelik
answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.
Show more


If -1 < x < 0 or x > 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true". :)

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure. :)
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X/|X| < X. Which of hte following must be true about X? 10 Apr 2007, 07:22
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goalsnr
saikadelik
answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x <0> 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true". :)

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure. :)
Show more


Thanks for making this clear. :)
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X/|X| < X. Which of hte following must be true about X? 10 Apr 2007, 08:51
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goalsnr
saikadelik
answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x <0> 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true". :)

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure. :)
Show more


Well said, I couldn't say it better :wink:
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X/|X| < X. Which of hte following must be true about X? 10 Apr 2007, 11:05
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ywilfred
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goalsnr
[quote="saikadelik"]answer is b.

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true". :)

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure. :)

Well said, I couldn't say it better :wink:[/quote]

Thanks ;) :)



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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