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Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1

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Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 14 May 2012, 09:39
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Is x^2>x

(1) x^2 is greater than 1

(2) x is greater than -1
[Reveal] Spoiler: OA
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 14 May 2012, 13:04
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Is x^2>x

Is \(x^2 > x\)? --> is \(x(x-1)>0\)? --> is \(x<0\) or \(x>1\)?

(1) x^2 is greater than 1 --> \(x^2>1\) --> \(x<-1\) or \(x>1\). Sufficient.

(2) x is greater than -1 --> \(x>-1\). Not sufficient.

Answer: A.

Solving inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html?hilit=extreme#p873535
everything-is-less-than-zero-108884.html?hilit=extreme#p868863

Hope it helps.
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 02 Sep 2014, 11:55
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 26 Dec 2015, 17:32
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Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 28 Dec 2015, 21:44
Bunuel wrote:

Is \(x^2 > x\)? --> is \(x(x-1)>0\)? --> is \(x<0\) or \(x>1\)?



can you explain this step please? what confuses me is the "X < 0" part.
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 29 Dec 2015, 00:42
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AS7x wrote:
Bunuel wrote:

Is \(x^2 > x\)? --> is \(x(x-1)>0\)? --> is \(x<0\) or \(x>1\)?



can you explain this step please? what confuses me is the "X < 0" part.


Please check the following posts:
Inequalities Made Easy!
Solving Quadratic Inequalities - Graphic Approach
Inequality tips

DS Inequalities Problems
PS Inequalities Problems

700+ Inequalities problems

Other Resources on Inequalities


inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html
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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: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink] New post 03 Jan 2016, 10:38
AS7x wrote:
Bunuel wrote:

Is \(x^2 > x\)? --> is \(x(x-1)>0\)? --> is \(x<0\) or \(x>1\)?



can you explain this step please? what confuses me is the "X < 0" part.

This is easy one. We have to find intervals where x(x-1)>0. We have two points where this inequality turns to zero, 0 and 1. If x>1 than this inequality holds. If 0<x<1 then this is not true (negative sign). And if x<0 then inequality is true. You can check this by plugging numbers from different intervals
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1   [#permalink] 03 Jan 2016, 10:38
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