Inequality

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Inequality

by josh80 » Wed Dec 11, 2013 4:10 pm
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
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by Brent@GMATPrepNow » Wed Dec 11, 2013 4:19 pm
Here's the entire question...
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

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III
If we CAN find a set of values for x, y and z that satisfies a statement AND yields values such that x > y^2 > z^4, then we'll KEEP that statement.

Statement I. x > y > z
If x = 2, y = 1, and z = 0, then x > y^2 > z^4
KEEP statement I

Statement II. z > y > x
If x = 1/4, y = 1/3, and z = 1/2, then x > y^2 > z^4
KEEP statement II

Statement III. x > z > y
If x = 2, y = -1, and z = 0, then x > y^2 > z^4
KEEP statement III

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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