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# M09-22

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Intern
Joined: 09 Aug 2014
Posts: 8

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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
Srinath
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Joined: 02 Sep 2009
Posts: 49300

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31 Aug 2017, 21:26
krsrinath wrote:
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
Srinath

|0| = -0 = 0. So, what I've written is correct.
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Intern
Joined: 05 Feb 2017
Posts: 3

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25 Nov 2017, 03:36
I think this is a high-quality question and I agree with explanation. Brilliant
Intern
Joined: 11 Aug 2017
Posts: 5
WE: Account Management (Energy and Utilities)

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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;
Math Expert
Joined: 02 Sep 2009
Posts: 49300

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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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Intern
Joined: 06 Aug 2017
Posts: 22
Location: India
GMAT 1: 660 Q47 V34

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29 Jan 2018, 09:31
1
if x=1,

wouldn't it be 1/1=1 <1 not true.
So, because of this case x>-1 cannot be true. As this means x=1 is also possible.

So wouldnt the answer be x>1?
Math Expert
Joined: 02 Sep 2009
Posts: 49300

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29 Jan 2018, 09:35
dileeprk wrote:
if x=1,

wouldn't it be 1/1=1 <1 not true.
So, because of this case x>-1 cannot be true. As this means x=1 is also possible.

So wouldnt the answer be x>1?

Check here: https://gmatclub.com/forum/m09-183830-20.html#p1982477
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Joined: 09 Jan 2018
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15 Feb 2018, 02:18
I think this is a poor-quality question and I don't agree with the explanation. what if x=0.5 then option b would not hold true
Math Expert
Joined: 02 Sep 2009
Posts: 49300

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15 Feb 2018, 03:13
muditsingh0616 wrote:
I think this is a poor-quality question and I don't agree with the explanation. what if x=0.5 then option b would not hold true

To understand the underline concept better practice other Trickiest Inequality Questions Type: Confusing Ranges.
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Joined: 09 Apr 2018
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05 Jul 2018, 02:46
But B would fail for x = 1.
As it is a must be true case it will fail for x = 1 (where 1 > -1).
So B can not be the answer.
Math Expert
Joined: 02 Sep 2009
Posts: 49300

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21 Jul 2018, 12:19
dpkgirdhar wrote:
I think this is a poor-quality question and I don't agree with the explanation. YOUR ANSWER IS INCORRECT. CHECK IT WHEN X=1

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.

P.S. ALL questions in the tests are correct.
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Intern
Joined: 24 Jun 2018
Posts: 1

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24 Jul 2018, 11:39
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Dear Sir / Madam,
In accordance with option B which is x > -1
if I take x = 0.5, then the argument is not valid.
Intern
Joined: 18 Jun 2018
Posts: 3

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19 Sep 2018, 15:44
I don't agree with the explanation. if x= 1/2, the given conditions are not satisfied
Math Expert
Joined: 02 Sep 2009
Posts: 49300

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19 Sep 2018, 20:22
prakash5796 wrote:
I don't agree with the explanation. if x= 1/2, the given conditions are not satisfied

Unfortunately 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 &nbs [#permalink] 19 Sep 2018, 20:22

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# M09-22

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