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If x/|x| < x, which of the following must be true about

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Re: Gmat club Please explain [#permalink] New post 18 Sep 2010, 04:56
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gurpreetsingh wrote:
x>-1 and x not equal to 0 and 1 - This is given. => x could be 2 , 3, 4,5,6,7----- so on
Every value of x should satisfy the answer.

Q1. Which of the following is always true.

1. X>2 -> is this always true? -> This is always true expect for x = 2.

If I take x = 2 using the inequality x/|x| < x , x =2 does not satisfy x>2.

I hope it makes sense. :?

Bunnel my point is every value that satisfy x/|x| < x should satisfy the answer choice.

Since 2 satisfies x/|x| < x but no x>2, x>2 can not be the answer...

Subset reason : All the values of x that satisfy x/|x| < x should be a subset of x>2
=> if x/|x| < x satisfy n values, then all those n values should be satisfied by x>2.



gurpreet I said that options B and E are always true. Option B says x>-1 and not x>2. x>2 is option A, which is not always true.
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Re: Gmat club Please explain [#permalink] New post 18 Sep 2010, 05:01
oh I m sry ! my bad !! I apologize :(

but x =1 also does not satisfy x/|x| < x ...which is part of x>-1

if x>-1 then x=1 must satisfy x/|x| < x
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Re: Gmat club Please explain [#permalink] New post 18 Sep 2010, 05:14
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gurpreetsingh wrote:
oh I m sry ! my bad !! I apologize :(

but x =1 also does not satisfy x/|x| < x ...which is part of x>-1

if x>-1 then x=1 must satisfy x/|x| < x



No-no-no-no. It should be vise-versa. As I said it seems that you are confused with the logic of the question, please see the examples in the end of my first post for examples.

If the solutions of \frac{x}{|x|}< x satisfy a statement than it would mean that this statement is always true.

For ANY x from the set {2, 3, 4, ...} (which is the solution) statements B (x>-1) and E (|x|^2>1) are TRUE or in other words solutions satisfy both B and E.

As I wrote in my previous post:
The question asks which of the following MUST be true, or which of the following is ALWAYS true. For such kind of questions if you can prove that A STATEMENT is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

So can you give me an example of x which satisfies \frac{x}{|x|}< x and is not more than -1?
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

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Re: Gmat club Please explain [#permalink] New post 18 Sep 2010, 05:44
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Re: Gmat club Please explain [#permalink] New post 18 Sep 2010, 06:09
Thanks Bunnel for your Patience. +1

I got it now !!

the initial given statement itself says that x can not be equal to 0 and 1 and is > -1.

so all the other numbers will be >-1.

:-D
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Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

Re: Gmat club Please explain   [#permalink] 18 Sep 2010, 06:09
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