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# Is |A - B | > | A - C | ? 1) | B | > | C | 2) A > 0

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Director
Joined: 03 Jul 2003
Posts: 651

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Is |A - B | > | A - C | ? 1) | B | > | C | 2) A > 0 [#permalink]

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24 Feb 2004, 00:27
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Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!

Kudos [?]: 106 [0], given: 0

Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 106 [0], given: 0

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24 Feb 2004, 08:37
anandnk wrote:

No official answers, but I also got E.

Kudos [?]: 106 [0], given: 0

Senior Manager
Joined: 11 Nov 2003
Posts: 356

Kudos [?]: 5 [0], given: 0

Location: Illinois

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26 Feb 2004, 11:11
Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!

The method other than picking the number:

imagine FOUR points A, B, C and O on the number line. O corresponds to 0 on the number line

Now the question is |A - B | > | A - C | which is basically asking: is the segment AB > segment AC on the number line?

Statement 1 : Segment BO > segment CO, In other words, B is farther than C from 0. B and C could be on either side of 0. But the absolute distance of B from 0 is greater than the absolute distance of C from 0. we do not know the position of A. So not suffeciaent.

Statement 2: it is self explanatory. In our number line, this does not help us identify the position of point B and C. NOT SUFFECIENT

Both together: If you combine the above two explanation, you will realize that it is not suffecient.

Kudos [?]: 5 [0], given: 0

SVP
Joined: 30 Oct 2003
Posts: 1788

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Location: NewJersey USA

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26 Feb 2004, 11:16
hi gmatblast,

Have u ever taught kids? This is one of the best explanation I have come across. I will definitely apply this in Quant.

Anand.

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Senior Manager
Joined: 11 Nov 2003
Posts: 356

Kudos [?]: 5 [0], given: 0

Location: Illinois

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26 Feb 2004, 12:15
anandnk wrote:
hi gmatblast,

Have u ever taught kids? This is one of the best explanation I have come across. I will definitely apply this in Quant.

Anand.

Well I am glad you liked the explanation. And as for teaching kids, nop I have never taught to any kids... now as you have mentioned, I should probably think about it in future.

By the way, I got the concept of distance for absolute value from the following link. You are probably already aware of it. But just in case

http://www.purplemath.com/modules/absolute.htm

Kudos [?]: 5 [0], given: 0

Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 106 [0], given: 0

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26 Feb 2004, 16:32
gmatblast wrote:

By the way, I got the concept of distance for absolute value from the following link. You are probably already aware of it. But just in case

http://www.purplemath.com/modules/absolute.htm

Good explanation, Gmatblast, Thanks

Kudos [?]: 106 [0], given: 0

Senior Manager
Joined: 02 Feb 2004
Posts: 344

Kudos [?]: 72 [0], given: 0

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19 May 2004, 08:23
gmatblast wrote:
Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!

The method other than picking the number:

imagine FOUR points A, B, C and O on the number line. O corresponds to 0 on the number line

Now the question is |A - B | > | A - C | which is basically asking: is the segment AB > segment AC on the number line?

Statement 1 : Segment BO > segment CO, In other words, B is farther than C from 0. B and C could be on either side of 0. But the absolute distance of B from 0 is greater than the absolute distance of C from 0. we do not know the position of A. So not suffeciaent.

Statement 2: it is self explanatory. In our number line, this does not help us identify the position of point B and C. NOT SUFFECIENT

Both together: If you combine the above two explanation, you will realize that it is not suffecient.

AWESOME!!!!!!!!!!

Kudos [?]: 72 [0], given: 0

Re: DS - MOD   [#permalink] 19 May 2004, 08:23
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