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M09-22

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M09-22  [#permalink]

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New post 31 Aug 2017, 13:10
Bunuel wrote:
When \(x\leq{0}\) then \(|x|=-x\), or more generally when \(some \ expression\leq{0}\) then \(|some \ expression|={-(some \ expression)}\). For example: \(|-5|=5=-(-5)\);
[/textarea]


Hi Bunuel,

I believe |x|=-x if x<0 and not if x≤0.

Please correct me if I am wrong.

Regards
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Re: M09-22  [#permalink]

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New post 31 Aug 2017, 21:26
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Re M09-22  [#permalink]

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New post 25 Nov 2017, 03:36
I think this is a high-quality question and I agree with explanation. Brilliant
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Re: M09-22  [#permalink]

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New post 06 Dec 2017, 23:02
I think i am missing something.

Can you explain why "A" can be eliminated? Isn't -0.5 less than than 1?

A. x>1. Not necessarily true since x could be -0.5;
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Re: M09-22  [#permalink]

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New post 06 Dec 2017, 23:14
DouglassJensen wrote:
I think i am missing something.

Can you explain why "A" can be eliminated? Isn't -0.5 less than than 1?

A. x>1. Not necessarily true since x could be -0.5;


We know that −1 < x < 0 or x > 1. The question asks to determine which of the options MUST be true.

A says: x > 1. This options is NOT always true because x could be from any number from −1 < x < 0, and if it is, then x > 1 won't be true. Please re-read the whole discussion again and follow the links provided there.

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Hope it helps.
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Re: M09-22  [#permalink]

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New post 10 Nov 2018, 08:57
If x≠0x≠0 and x|x|<xx|x|<x, which of the following must be true?

A. x>1x>1
B. x>−1x>−1
C. |x|<1|x|<1
D. |x|&gt;1
E. −1<x<0

From given stem, we need to plug in values in relation to given set of options, for which only option B is valid
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Re: M09-22  [#permalink]

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New post 24 Jan 2019, 09:33
Bunuel wrote:
If \(x \ne 0\) and \(\frac{x}{|x|} \lt x\), which of the following must be true?

A. \(x \gt 1\)
B. \(x \gt -1\)
C. \(|x| \lt 1\)
D. \(|x|&gt;1\)
E. \(-1 \lt x \lt 0\)


So one has to understand here what can be the value of LHS
\(\frac{x}{|x|} \lt x\)

When you solve LHS, you get x> 1 and x > -1

Now only B covers both the regions
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Re: M09-22  [#permalink]

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New post 27 Apr 2019, 09:57
wow this is a really challenging question!

now my confidence level has taken a 90 degree plunge!

guess i will have to work even harder!

This question doesnt even come close to those in the gmat official guide! :lol: :lol:
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Re M09-22  [#permalink]

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New post 11 May 2019, 21:56
I think this is a high-quality question and I agree with explanation.
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Re: M09-22  [#permalink]

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New post 23 Jun 2019, 02:30
pkumbhare1 wrote:
I think this is a poor-quality question and I don't agree with the explanation. B will have the range 0<x<1 that is incorrect


You did not understand the question and the solution. Also, it seems that you did not read the discussion. Please read the whole discussion before posting a question.

To understand the underline concept better practice other Trickiest Inequality Questions Type: Confusing Ranges.
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Re M09-22  [#permalink]

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New post 13 Jul 2019, 04:25
I think this is a poor-quality question and I don't agree with the explanation. the question is wrong as A and E both are correct. B is a wrong answer.
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Re: M09-22  [#permalink]

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New post 13 Jul 2019, 06:07
spcharan wrote:
I think this is a poor-quality question and I don't agree with the explanation. the question is wrong as A and E both are correct. B is a wrong answer.


You did not understand the question and the solution. Also, it seems that you did not read the discussion. Please read the whole discussion before posting a question.

To understand the underline concept better practice other Trickiest Inequality Questions Type: Confusing Ranges.
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Re: M09-22   [#permalink] 13 Jul 2019, 06:07

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