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M09-22

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M09-22  [#permalink]

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New post 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
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Re: M09-22  [#permalink]

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New post 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.
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Re M09-22  [#permalink]

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New post 25 Nov 2017, 02:36
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, 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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Re: M09-22  [#permalink]

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New post 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.
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Re: M09-22  [#permalink]

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New post 05 Jul 2018, 01:46
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.
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Re: M09-22  [#permalink]

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New post 21 Jul 2018, 11:19
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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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re M09-22  [#permalink]

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New post 09 Nov 2018, 22:32
I think this is a high-quality question and I don't agree with the explanation. What if you take X=0.5?
LHS becomes 0.5/0.5=1, RHS becomes 0.5
According to equation: LHS<RHS i.e 1<0.5 but that's not true. Hence according to me option B is not right
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Re: M09-22  [#permalink]

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New post 10 Nov 2018, 05:47
ayushrazdan wrote:
I think this is a high-quality question and I don't agree with the explanation. What if you take X=0.5?
LHS becomes 0.5/0.5=1, RHS becomes 0.5
According to equation: LHS<RHS i.e 1<0.5 but that's not true. Hence according to me option B is not right


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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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M09-22  [#permalink]

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New post 10 Nov 2018, 07:57
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 &nbs [#permalink] 10 Nov 2018, 07:57

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