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# On the number line shown, is zero halfway between r and s ?

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On the number line shown, is zero halfway between r and s ? [#permalink]  15 Jun 2009, 00:50
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On the number line shown, is zero halfway between r and s ?

----r----s--t---------

1) s is to the right of zero
2) The distance between t and r is the same as the distance between t and -s
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Re: Number line question [#permalink]  15 Jun 2009, 11:09
Is the answer B - Statement 2 alone is sufficient?

1) s is to the right of zero
This tells us that s is positive, but tells us nothing about r.
r could be either positive or negative. Insufficient alone.

2) The distance between t and r is the same as the distance between t and -s
d line tr = d line t(-s)
d = point 1 - point 2
t - r = t - (-s)
r = -s
The line would now look like
-s ------ s
0 is halfway between -s and s
therefore 0 is halfway between r and s
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Re: Number line question [#permalink]  15 Jun 2009, 11:58
So C, and not B, is the correct answer because we need to know that S is not a large negative number ?

For instance if t = 2 and r = -3 then s would have to be = -7 to place it at the same distance from t as r. This seem to go against what is shown in the picture of the number line though. Could someone please explain this?
Re: Number line question   [#permalink] 15 Jun 2009, 11:58
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