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

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Intern
Joined: 24 Nov 2012
Posts: 24

Kudos [?]: 60 [0], given: 0

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

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29 Nov 2012, 10:22
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Question Stats:

85% (00:42) correct 15% (00:52) wrong based on 74 sessions

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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.
Edited the question.

Kudos [?]: 60 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132540 [0], given: 12325

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

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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.

Solving inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
everything-is-less-than-zero-108884.html
xy-plane-71492.html
_________________

Kudos [?]: 132540 [0], given: 12325

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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