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On the number line, the distance between

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On the number line, the distance between [#permalink] New post 01 Feb 2017, 13:33
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Question Stats:

70% (00:32) correct 29% (00:31) wrong based on 47 sessions


On the number line, the distance between X and zero is 3

Quantity A
Quantity B
The distance between X and 2 on the number line
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: On the number line, the distance between [#permalink] New post 06 Feb 2017, 10:15
Expert's post
Explanation

Diagram the question and determine the possible values of x:

Image

Now determine the distance between x and 2:

Image

We have shown that the distance between x and 2 could be 5 or 1; thus, it is impossible to say that Quantity A is always greater than Quantity B.

Hence option D is correct.



[Reveal] Spoiler: Img
Attachment:
di.jpg
di.jpg [ 9.67 KiB | Viewed 9420 times ]
Attachment:
di1.jpg
di1.jpg [ 12.53 KiB | Viewed 9414 times ]

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Re: On the number line, the distance between [#permalink] New post 15 Feb 2019, 11:15
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Carcass wrote:


On the number line, the distance between X and zero is 3

Quantity A
Quantity B
The distance between X and 2 on the number line
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


GIVEN: On the number line, the distance between x and zero is 3
This tells us that EITHER x = 3 OR x = -3

Let's test each case.

case i: x = 3
On the number line, the distance between 3 and 2 is 1, so we get:
QUANTITY A: 1
QUANTITY B: 2
In this case, Quantity B is greater


case ii: x = -3
On the number line, the distance between -3 and 2 is 5, so we get:
QUANTITY A: 5
QUANTITY B: 2
In this case, Quantity A is greater

Answer: D

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Brent
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Re: On the number line, the distance between   [#permalink] 15 Feb 2019, 11:15
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