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Is x > 0 ?

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Re: Is x > 0 ? [#permalink] New post 15 Jan 2013, 07:22
rxs0005 wrote:
Is x > 0 ?
(1) x < x^2
(2) x < x^3


1. x < x^2
Test x = 2: 2 < 4 OK!
Test x = -1: -1 < 1 OK!
Test x = -1/4: -1/4 < -1/16 OK!
INSUFFICIENT!

2. x < x^3
Test x = 2: 2 < 8 OK!
Test x = -1: -1 = -1 NOT OK!
Test x = -1/4: -1/4 < -1/64 OK!
INSUFFICIENT!

Together: When x is negative fraction or x is greater than 2, both inequalities work!

Answer: E
Re: Is x > 0 ?   [#permalink] 15 Jan 2013, 07:22
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