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# On the number line, the distance between x and y is greater

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Joined: 26 Dec 2007
Posts: 70
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On the number line, the distance between x and y is greater [#permalink]  06 Jan 2008, 16:49
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On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

1) xyz < 0
2) xy < 0
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Joined: 08 Jun 2007
Posts: 584
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Re: DS- Number Line - GMATprep Test [#permalink]  06 Jan 2008, 17:36
bsjames2 wrote:
On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

1) xyz < 0
2) xy < 0

I think its E

1 - doesnt prove anything

2.- either x or y is negative or on the left side of 0 . Again no info.

Combining

if 2 is true then z is positive to make xyz < 0

with that we still have 2 scenarios.

Assume x is positive, then y is negative and z is positive

---------------------y-------0---------x-------------(z)
z cant lie between x and y -

Assume x is negative, then y is positive and z is positive

---------------x-------0------(z)----y-------------
z can lie between x and y

So still we have 2 options.
Re: DS- Number Line - GMATprep Test   [#permalink] 06 Jan 2008, 17:36
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