X<5? 1. |x-5|>0 2. x^2 + x <5 : DS Archive
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# X<5? 1. |x-5|>0 2. x^2 + x <5

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X<5? 1. |x-5|>0 2. x^2 + x <5 [#permalink]

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20 Sep 2004, 18:44
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DS: X<5?

1. |x-5|>0

2. x^2 + x <5
Intern
Joined: 06 May 2004
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20 Sep 2004, 19:02
A is not sufficient > x = 7 ; x = -7
B is sufficient ; only for x <2
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20 Sep 2004, 19:46
From 1, we can get either
-(x-5) > 0
(x-5) < 0
x < 5

Or

(x-5) > 0
x > 5

So 1 is not sufficient

From 2,
x^2+x < 5
x^2+x-5 < 0

we can get either ~-2.25 < x < ~1.75

So 2 is sufficient.
20 Sep 2004, 19:46
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