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

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Is (x^4+y^4)>z^4? 1) x^2 + y^2 > z^2 2) x+y>z [#permalink] New post 04 Nov 2006, 00:19
Is (x^4+y^4)>z^4?

1) x^2 + y^2 > z^2
2) x+y>z
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 [#permalink] New post 04 Nov 2006, 00:57
Tricky question,

but I would go for E.

S2 clearly insufficient as z coult be negative.

S1 is difficult, but it's insufficient too. For example, what if it's 0.5+0.5>0.9. If we square each of them (to get ^4), we get 0.25+0.25>0.81, which is false. But if we would have 25+9>4, the statement would be true.

We don't do anything with S1+S2, E it is.
  [#permalink] 04 Nov 2006, 00:57
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