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# Is X > 3? 1. (X-3)(X-2)(X-1) > 0 2. X > 1 I chose

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Manager
Joined: 07 Jan 2008
Posts: 85
Is X > 3? 1. (X-3)(X-2)(X-1) > 0 2. X > 1 I chose [#permalink]

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09 Dec 2008, 15:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is X > 3?

1. (X-3)(X-2)(X-1) > 0
2. X > 1

I chose (A) as the equation will be > 0 only when X > 3. In all other cases the answer is 0 or < 0.

But the official answer is E. I don't understand why.
Intern
Joined: 05 Oct 2008
Posts: 14

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09 Dec 2008, 17:09
If X=1.5 then (X-3)(X-2)(X-1) > 0
Manager
Joined: 23 Nov 2008
Posts: 79

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09 Dec 2008, 17:54
1. (X-3)(X-2)(X-1) > 0

product of three numbers can be positive only if:
- all three are positive
- any two are negative, the third positive.

For X<0 ....all three negative - OUT
For 0<X<1...all three negative - OUT
For 1<X<2...(x-3),(x-2) negative, (x-1) positive - KEEP
For 2<x<3...(x-3) negative, (x-2)(x-1) positive - OUT
For x>3...all three positive - KEEP

Hence not conclusive.

2. X > 1
Not conclusive for same reasons.

Hence E
SVP
Joined: 29 Aug 2007
Posts: 2453

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11 Dec 2008, 14:46
topmbaseeker wrote:
Is X > 3?

1. (X-3)(X-2)(X-1) > 0
2. X > 1

I chose (A) as the equation will be > 0 only when X > 3. In all other cases the answer is 0 or < 0.

But the official answer is E. I don't understand why.

Good question.
Agree with E that x could be >3 or <3 but > 1. However x is not none of 1, 2 or 3.
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Re: GMATCLUB M03 (1)   [#permalink] 11 Dec 2008, 14:46
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# Is X > 3? 1. (X-3)(X-2)(X-1) > 0 2. X > 1 I chose

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