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# M09-22

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Intern
Joined: 09 Aug 2014
Posts: 8

Kudos [?]: [0], given: 218

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31 Aug 2017, 12:10
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

Kudos [?]: [0], given: 218

Math Expert
Joined: 02 Sep 2009
Posts: 42648

Kudos [?]: 135946 [0], given: 12716

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31 Aug 2017, 20:26
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.
_________________

Kudos [?]: 135946 [0], given: 12716

Intern
Joined: 05 Feb 2017
Posts: 3

Kudos [?]: 0 [0], given: 2

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25 Nov 2017, 02:36
I think this is a high-quality question and I agree with explanation. Brilliant

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Intern
Joined: 11 Aug 2017
Posts: 4

Kudos [?]: 0 [0], given: 1

WE: Account Management (Energy and Utilities)

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06 Dec 2017, 22:02
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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Math Expert
Joined: 02 Sep 2009
Posts: 42648

Kudos [?]: 135946 [0], given: 12716

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06 Dec 2017, 22:14
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.
_________________

Kudos [?]: 135946 [0], given: 12716

Re: M09-22   [#permalink] 06 Dec 2017, 22:14

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# M09-22

Moderators: chetan2u, Bunuel

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