GMAT prep inequality 3

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by Anurag@Gurome » Wed Mar 14, 2012 5:42 am
jkelk wrote:Hi

Please help solve the attached.

Thanks,
J
Is x^4 + y^4 > z^4 ?

(1) x² + y² > z²
If x = 1, y = 1, z = 0, then x^4 + y^4 > z^4
If x = 5, y = 6, z = 7, then x^4 + y^4 < z^4
No definite answer; NOT sufficient.

(2) x + y > z
If x = 1, y = 1, z = 0, then x^4 + y^4 > z^4
If x = 5, y = 6, z = 7, then x^4 + y^4 < z^4
No definite answer; NOT sufficient.

Combining (1) and (2), we can take the same examples as in statements 1 and 2 above; NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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