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# Algebra#16

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Senior Manager
Joined: 19 Feb 2004
Posts: 415
Location: Lungi
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Algebra#16 [#permalink]  20 Feb 2004, 04:11
if x^5 < x^3, which of the following could be true?
I. x < -5
II 0 < x < 1
III -1 < x < 0

a. I and III
b. I and II
c. II and III
d. I only
e. II only
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
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x^5-X^3<0=X^3(X^2-1)<0 or for this to be true should x^3>0 and X^2-1<0, combined with X^3<0 and X^2-1>0. First system has a solution (1;0) second (-1;-inf ): Think that I and II should be true or B)
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