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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.
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