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# Is x^2 greater than x? 1) x^2 is greater than 1. 2) x is

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Director
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Is x^2 greater than x? 1) x^2 is greater than 1. 2) x is [#permalink]

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21 Apr 2008, 19:24
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Is x^2 greater than x?

1) x^2 is greater than 1.
2) x is greater than -1.
SVP
Joined: 11 Mar 2008
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Location: Southern California
Schools: Chicago (dinged), Tuck (November), Columbia (RD)
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21 Apr 2008, 19:26
jimmyjamesdonkey wrote:
Is x^2 greater than x?

1) x^2 is greater than 1.
2) x is greater than -1.

This is basically asking: Is X < -1 OR Is X > 1

1)

X^2 is only greater than 1 if x < -1 or x > 1

SUFF

2) x can be 0.5 = no, x can be 5 = yes.

NOT SUFF

A
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Director
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21 Apr 2008, 19:46
jimmyjamesdonkey wrote:
Is x^2 greater than x?

1) x^2 is greater than 1.
2) x is greater than -1.

we have to find out x^2-x > 0 i.e. either x > 0 Or x>1

1) x^2-1>0 x> -1 OR x> 1 insuff

2) x> -1, x = 0, x = 1.... so inuff

together insuff

E
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21 Apr 2008, 20:56
jimmyjamesdonkey wrote:
Is x^2 greater than x?

1) x^2 is greater than 1.
2) x is greater than -1.

1. if x^2 is greater than 1, x^2 is always not a fraction. so suff.
2. if x is greater than -1, s could be a -ve or +ve fraction. nsf...
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21 Apr 2008, 21:28
jimmyjamesdonkey wrote:
Is x^2 greater than x?

1) x^2 is greater than 1.
2) x is greater than -1.

A.

Work out the problem
x^2 > x
x^2 - x >0
x*(x-1) > 0
Find the solutions:
Solution 1: x>0 and x>1 => x>1
Solution 2: x<0 and x<1 => x<0

Re-write the question:
Is x>1 and x<0?

(1) x^2 > 1
This means x>1 and x<-1
SUFFICIENT

(2) x>-1
INSUFFICIENT
Re: OG DS Inequalities   [#permalink] 21 Apr 2008, 21:28
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