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Inequality

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Junior | Next Rank: 30 Posts
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Inequality

by Fokin » Fri May 07, 2010 12:44 am
How to resolve this:
if r>0 and s>0 , is r/s<s/r ?

1) r/3s<1/4
2) s=r+4

I've tried to resolve in the following way:

1) r/3s<1/4= r/s <3/4
2) s=r+4 ???
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Source: — Data Sufficiency |
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by electrico » Fri May 07, 2010 1:03 am
Stem: if r>0 and s>0 , is r/s<s/r ?

r/s < s/r => r^2 < s^2 (multiply each side by rs)

or, is r^2 / s^2 < 1 ?

Stmnt1: r/3s<1/4 => r/s < 3/4 hence sufficient

Stmnt2 : s=r+4

Since r>0 and s>0 , r^2 / s^2 < 1 ( r=1, s=5)
Hence sufficient.

Answer is D.
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