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Is |x|>2? 1) x>2 2) x(x-2)>0

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Math Revolution GMAT Instructor
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Is |x|>2? 1) x>2 2) x(x-2)>0  [#permalink]

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New post 03 Nov 2016, 00:30
3
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:01) correct 33% (01:05) wrong based on 122 sessions

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Is |x|>2?

1) x>2
2) x(x-2)>0

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Re: Is |x|>2? 1) x>2 2) x(x-2)>0  [#permalink]

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New post 03 Nov 2016, 00:41
1) x>2

so |x| will be greater than 2.
Sufficient

2) x(x-2)>0

x<0 & x>2

x<0, say x = -1, |x|<2
x<0, say x = -3, |x|>2
x>0, say x =2.5, |x|>2

Not Sufficient.

Option A
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Re: Is |x|>2? 1) x>2 2) x(x-2)>0  [#permalink]

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New post 03 Nov 2016, 02:27
1
MathRevolution wrote:
Is |x|>2?

1) x>2
2) x(x-2)>0



Basically, we have to know if x>2 or x<-2

Statement1: x>2 => sufficient

Statement2: for x(x-2) to be positive, we have 2 different scenarios:

Scenario1: x>0 and x>2 => x>2 => sufficient
Scenario2: x<0 and x<2 => x<0 => x can be -1, then lxl is not greater than 2 and x can be -5, then lxl>2
=> not sufficient.

So correct answer is A.

IF YOU'RE GOING THROUGH HELL. KEEP GOING.

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Re: Is |x|>2? 1) x>2 2) x(x-2)>0  [#permalink]

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New post 06 Nov 2016, 23:52
==>In the case of the inequality, if the range of the question includes the range of the condition, it is important that the condition is sufficient. In the original condition, you get 1 variable(x), so D is highly likely to be the answer. The question is x<-2 or 2<x?
In the case of 1), from x>2, the range of the question includes the range of the condition, hence sufficient.
In the case of 2), from x<0 or 2<x, the range of the question does not include the range of the condition, hence not sufficient. The answer is A.

answer: A
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Re: Is |x|>2? 1) x>2 2) x(x-2)>0  [#permalink]

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New post 01 Feb 2018, 20:58
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Re: Is |x|>2? 1) x>2 2) x(x-2)>0 &nbs [#permalink] 01 Feb 2018, 20:58
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