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

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If x is positive, is x > 3? 1) (x-1)^2 > 4 2) (x-2)^2 [#permalink]  07 May 2008, 15:06
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If x is positive, is x > 3?

1) (x-1)^2 > 4

2) (x-2)^2 > 9
Manager
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Re: Inequalities DS: 600 - 700 range [#permalink]  07 May 2008, 15:36
1)
x>3 or x<-1

x must be positive so only the first range is acceptable
sufficient

2) x>5 or x<-1

x must be positive so only the first range is acceptable
sufficient

D
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 04:23
jimmyjamesdonkey wrote:
If x is positive, is x > 3?

1) (x-1)^2 > 4

2) (x-2)^2 > 9

This seems a bit easy for 600-700.

Just plug in 3 for 1: that makes the left side equal to 4. so it has to be at least 3.00000000000001. etc...

2: same thing. Or u could just square both sides.
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 05:51
GMATBLACKBELT wrote:
This seems a bit easy for 600-700.

You are just used to the quant questions from hell posted in these forums.
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 06:05
jimmyjamesdonkey wrote:
If x is positive, is x > 3?

1) (x-1)^2 > 4

2) (x-2)^2 > 9

lets see X>0...

1)
x^2-2x+1>4
x(x-2)>3 ..OK so x>0..we can see that x has to be greater than 3..for the inequality to hold!
Sufficient

2)
x^2-4x+4>9
x(x-4)>5; X>0 has to be greater than 5...sufficient!

D
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 08:49
jimmyjamesdonkey wrote:
If x is positive, is x > 3?

1) (x-1)^2 > 4

2) (x-2)^2 > 9

I will just try and plug

1) x is positive, so let's try 2, 3, and 4.

(2-1)^2 > 4 ---> 1 > 4 - shows that x > 2
(3-1)^2 > 4 ---> 4 > 4 - shows that x > 3 (this is what we want so far)
(4-1)^2 > 4 ---> 9 > 4 - shows that x > 3 as well. Accept

Solution is now either A or D.

2) x is positive, so let's try 3, 4, and 5

(3-2)^2 > 9 ----> 1 > 9 - shows that x > 3 (this is what we want so far)
(4-2)^2 > 9 ----> 4 > 9 - shows that x > 3 as well. Accept.

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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 10:09
1) (x-1)^2 > 4 => x-1>2 or x-1<-2 since x>0 thus x-1>2 i.e. x>3 suff

2) (x-2)^2 > 9 => x-2>3 or x-2<-3 since x>0 thus x-2>3 i.e. x>5 suff
Manager
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 23:11
Maple wrote:
You are just used to the quant questions from hell posted in these forums.

Haha.. "quant questions from hell"... lol
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Re: Inequalities DS: 600 - 700 range [#permalink]  08 May 2008, 23:16
Funny and SO TRUE... no one asks any thing below 750 level on this forum ...

anirudhoswal wrote:
Maple wrote:
You are just used to the quant questions from hell posted in these forums.

Haha.. "quant questions from hell"... lol
Re: Inequalities DS: 600 - 700 range   [#permalink] 08 May 2008, 23:16
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