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Which of the following is a value of x for which x^11 - x^9

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Which of the following is a value of x for which x^11 - x^9 [#permalink]

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New post 29 Nov 2012, 10:22
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A
B
C
D
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Which of the following is a value of x for which x^11 - x^9 > 0 ?

A. -2
B. -1
C. -1/2
D. 1/2
E. 1

Last edited by Bunuel on 29 Nov 2012, 10:25, edited 1 time in total.
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Re: Which of the following is a value of x for which x^11 - x^9 [#permalink]

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New post 29 Nov 2012, 10:30
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ritumaheshwari02 wrote:
Which of the following is a value of x for which x^11 - x^9 > 0 ?

A. -2
B. -1
C. -1/2
D. 1/2
E. 1


\(x^{11} - x^9 > 0\) --> \(x^9(x^2-1)>0\) --> \((x+1)x^9(x-1)>0\) --> roots are -1, 0 and 1 --> \(-1<x<0\) or \(x>1\). Only C fits.

Answer: C.

Solving inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
everything-is-less-than-zero-108884.html
xy-plane-71492.html
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Re: Which of the following is a value of x for which x^11 - x^9   [#permalink] 29 Nov 2012, 10:30
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Which of the following is a value of x for which x^11 - x^9

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