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AsadA969
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inequality problem

by AsadA969 Sat Apr 09, 2016 6:17 am

If xy^2=1, is x>y?
1) -1<y<1
2) xy<0

Ron, i don't understand how statement 1 is sufficient? from statement 1, y^2 and x both are positive (considering xy^2=1), but how x>y? In statement 1, it says -1<y<1. If put any value of y (-1<y<1) in x=1/y^2, then we get x is always greater than 1, but if we put y=0, then x=undefined. [i]My question is: how undefined is greater than 1? can you clarify it details, please?
Thanks...
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tim
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Re: inequality problem

by tim Sat Apr 09, 2016 7:06 pm

The setup told you that xy^2 = 1. This means it is *impossible* for y to be 0, just as surely as if they had said "if y is not equal to 0...".
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RonPurewal
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Re: inequality problem

by RonPurewal Sun Apr 10, 2016 11:37 am

yeah, you can't make the conditions false.

more importantly, please respect the forum rules. if you post a problem in this folder, you MUST cite the original source of the problem.
we can't comment any further on this problem until you cite the original source. thanks.