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OG 11 - Algebra Inequalities

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by Vignesh.4384 » Mon Jul 07, 2008 5:07 am
is the answer E ?
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by albertrahul » Mon Jul 07, 2008 5:33 am
Dear Vignesh, would you detail your solution please?
OA is not E.
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Re: OG 11 - Algebra Inequalities

by Ian Stewart » Mon Jul 07, 2008 5:48 am
albertrahul wrote:Is m != n?
[!= : not equals]

(1) m + n < 0
(2) mn < 0
Statement 2) is definitely enough on its own: if mn < 0, then m and n have opposite signs, so they can't be equal.

From Statement 1), if m and n are equal and both negative, this will always be true (try m = n = -1). So this is not sufficient; m might be equal to n, and might not.

B.
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by albertrahul » Mon Jul 07, 2008 5:52 am
Thanks for reply Ian. OG also provides similar solution.

However, I want to know that why can't I assume m = 1/2 and n = 1/2, this also satisfies statement 2.

1/2 * 1/2 = 1/4 < 0
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by Ian Stewart » Mon Jul 07, 2008 7:12 am
albertrahul wrote:Thanks for reply Ian. OG also provides similar solution.

However, I want to know that why can't I assume m = 1/2 and n = 1/2, this also satisfies statement 2.

1/2 * 1/2 = 1/4 < 0
1/4 is not less than zero!
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by albertrahul » Mon Jul 07, 2008 9:51 pm
Thanks Ian.
Again, I missed out on basic.
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