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# Is 3x greater than x-6? 1) x is greater than -4 2) x is greater than 0

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42
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Is 3x greater than x-6? 1) x is greater than -4 2) x is greater than 0  [#permalink]

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19 Jul 2017, 01:58
1
00:00

Difficulty:

25% (medium)

Question Stats:

84% (00:52) correct 16% (00:53) wrong based on 48 sessions

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Is 3x greater than x-6?

1) x is greater than -4
2) x is greater than 0

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Re: Is 3x greater than x-6? 1) x is greater than -4 2) x is greater than 0  [#permalink]

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19 Jul 2017, 02:06
MathRevolution wrote:
Is 3x greater than x-6?

1) x is greater than -4
2) x is greater than 0

3x > x-6 can happen only if x>0
if x<0, then 3x >= x-6

1) x > -4
x = -3, 3x = x-6
x = -2, 3x > x-6
Insufficient.

2) x > 0
Sufficient.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GPA: 3.82
Re: Is 3x greater than x-6? 1) x is greater than -4 2) x is greater than 0  [#permalink]

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21 Jul 2017, 01:02
==> If you modify the original condition and the question, you get 3x>x-6?, 2x>-6?, x>-3?. There is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), from x>-4, the range of the question doesn’t include the range of the condition, hence it is not sufficient.
For con 2), from x>0, the range of the question includes the range of the condition, hence it is sufficient.

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Re: Is 3x greater than x-6? 1) x is greater than -4 2) x is greater than 0   [#permalink] 21 Jul 2017, 01:02
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