If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x : Quant Question Archive [LOCKED]
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# If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x

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Intern
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If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x [#permalink]

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18 Aug 2008, 19:44
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is positive, is x > 3 ?

(1) (x - 1)^2 > 4
(2) (x - 2)^2 > 9

I thought
1) x>0 or x>3
2) x>5 or x>-1 so E, but OA is D. Could anyone explain? Thanks!
Director
Joined: 12 Jul 2008
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Schools: Wharton
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18 Aug 2008, 20:09
flygmat wrote:
If x is positive, is x > 3 ?

(1) (x - 1)^2 > 4
(2) (x - 2)^2 > 9

I thought
1) x>0 or x>3
2) x>5 or x>-1 so E, but OA is D. Could anyone explain? Thanks!

(1) Sufficient

For positive x:
(x-1)^2 > 4
x-1 > 2
x > 3

(2) Sufficient

For positive x:
(x-2)^2 > 9
x-2 > 3
x > 5
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18 Aug 2008, 20:12
flygmat wrote:
If x is positive, is x > 3 ?

(1) (x - 1)^2 > 4
(2) (x - 2)^2 > 9

I thought
1) x>0 or x>3
2) x>5 or x>-1 so E, but OA is D. Could anyone explain? Thanks!

(1) (x - 1)^2 > 4

(x - 1)^2 - 2^2>0
(x-1-2) (x-1+2)>0
(x-3)(x+1)>0

x>3
and x>-1 (X is positive.. so this solution is not feasible)

Sufficient
(2) (x - 2)^2 > 9
(x-5)(x+1)>0
x>5 ---sufficient
and x>-1 (X is positive.. so this solution is not feasible)
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Intern
Joined: 22 Jul 2008
Posts: 10
Followers: 0

Kudos [?]: 1 [0], given: 0

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19 Aug 2008, 17:22
x2suresh wrote:
flygmat wrote:
If x is positive, is x > 3 ?

(1) (x - 1)^2 > 4
(2) (x - 2)^2 > 9

I thought
1) x>0 or x>3
2) x>5 or x>-1 so E, but OA is D. Could anyone explain? Thanks!

(1) (x - 1)^2 > 4

(x - 1)^2 - 2^2>0
(x-1-2) (x-1+2)>0
(x-3)(x+1)>0

x>3
and x>-1 (X is positive.. so this solution is not feasible)

Sufficient
(2) (x - 2)^2 > 9
(x-5)(x+1)>0
x>5 ---sufficient
and x>-1 (X is positive.. so this solution is not feasible)

I absolutely missed that X is positive! Geez.. Thanks you all!
Re: GMATPREP- inequality   [#permalink] 19 Aug 2008, 17:22
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