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Is x^4 + y^4 > z^4 (1) x^2 + y^2 > z^2 (2) x + y >

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Joined: 24 Aug 2006
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Is x^4 + y^4 > z^4 (1) x^2 + y^2 > z^2 (2) x + y > [#permalink]  23 Nov 2006, 14:18
Is x^4 + y^4 > z^4

(1) x^2 + y^2 > z^2

(2) x + y > z
Senior Manager
Joined: 08 Jun 2006
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Going with E

if X = Y = 4 and Z = 5
4 + 4 > 5
4^2 + 4^2 > 5^2
but 4^4 + 4^4 < 5^4

if X = Y = Z = 1
1 + 1 > 1
1^2 + 1^2 > 1^2
but 1^4 + 1^4 > 1^4

Not conclusive
Senior Manager
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st 1 x^2 + y^2 >z^2 squaring we get x^4 +y ^4 +2x^2y^2 >z^4 ..insuff
st2 x+y>z insuff...

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Joined: 11 Sep 2006
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same question [#permalink]  24 Nov 2006, 11:42
same question   [#permalink] 24 Nov 2006, 11:42
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