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Is x^4 + y^4 > z^4?

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RonPurewal
 Post subject: Re:
 Post Posted: Wed Feb 18, 2009 5:12 am 
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ManhattanGMAT Staff


Posts: 7146
MBA Action wrote:
I used the Pythagorean theorem and a characteristic of triangles to prove that (1) is not suff. and (2) also.

Can anybody guess how?


well, i can imagine several associations you may have made between the pythagorean theorem, the triangle inequality, and the given statements.

but which one in particular?
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sh.bharath
 Post subject: Re: Is x^4 + y^4 > z^4?
 Post Posted: Sat Nov 05, 2011 8:18 pm 
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Students


Posts: 5
Ron, You are awesome..
Thanks for this lesson on DS. I had problems in DS and this particular principle is working well for me.
Quote:

takeaway #2: if a statement is sufficient, then you WILL be able to PROVE that it is, algebraically or with some other form of theory. in other words, you'll never get a statement that's sufficient, but for which you can only figure that out by number plugging.


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RonPurewal
 Post subject: Re: Is x^4 + y^4 > z^4?
 Post Posted: Wed Nov 09, 2011 7:02 am 
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ManhattanGMAT Staff


Posts: 7146
sure.

on the other hand, if you've plugged enough numbers to be quite sure about sufficiency, then QUIT and guess "sufficient" (i.e., don't continue to hunt for proof). remember, time management is king.
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