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# If x > y^2 > z^4, which of the following statements

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VP
Joined: 22 Nov 2007
Posts: 1079
If x > y^2 > z^4, which of the following statements [#permalink]

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09 Mar 2008, 22:08
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x > y^2 > z^4, which of the following statements could be true?

I. x > y > z
II. z > y > x
III. x > z > y

I only
I & II
I & III
II & III
I, II, & III
Note
SVP
Joined: 29 Aug 2007
Posts: 2473

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09 Mar 2008, 23:48
marcodonzelli wrote:
If x > y^2 > z^4, which of the following statements could be true?

I. x > y > z
II. z > y > x
III. x > z > y

I only
I & II
I & III
II & III
I, II, & III
Note

E. here x, y and z are each less than 1 but > -1.

I. x > y > z is possible if x = 0.5, y = 0.4 and z = 0.3

II. z > y > x is possible if z = 0.815, y = 0.81 and x = 0.8
III. x > z > y is possible if x = 0.5, y = 0.4 and z = 0.44

not sure if i miss something but got E.
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Re: inequalities - gmatprep   [#permalink] 09 Mar 2008, 23:48
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