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# Is x > 0? (1) x < x^2 (2) x < x^3

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Senior Manager
Joined: 24 Jun 2012
Posts: 379
Location: Pakistan
GPA: 3.76
Is x > 0? (1) x < x^2 (2) x < x^3  [#permalink]

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02 Jul 2017, 07:37
00:00

Difficulty:

75% (hard)

Question Stats:

57% (02:41) correct 43% (01:55) wrong based on 41 sessions

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Is x > 0?

(1) x < x^2
(2) x < x^3

_________________
Push yourself again and again. Don't give an inch until the final buzzer sounds. -Larry Bird
Success isn't something that just happens - success is learned, success is practiced and then it is shared. -Sparky Anderson
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Senior Manager
Joined: 06 Jul 2016
Posts: 364
Location: Singapore
Concentration: Strategy, Finance
Re: Is x > 0? (1) x < x^2 (2) x < x^3  [#permalink]

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02 Jul 2017, 07:52
sananoor wrote:
Is x > 0?

1) x < x^2
2) x < x^3

S1 -> x < $$x^2$$
x = -2, $$x^2$$ = 4
x = 2, $$x^2$$ = 4
Insufficient.

S2 -> x < $$x^3$$
x = 2, $$x^3$$ = 8
x = - 1/2, $$x^3$$ = - 1/8
Insufficient.

(1+2)
x can be a negative fraction leading to a negative cube less greater than x, or a positive square greater than x.
Insufficient.

E.
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Re: Is x > 0? (1) x < x^2 (2) x < x^3   [#permalink] 02 Jul 2017, 07:52
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