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Cybermusings
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 Posted: Wed May 16, 2007 2:17 am Post subject: Absolute values! |
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2. Is ¦x - y¦>¦x - z¦?
(1) ¦y¦>¦z¦
(2) x < 0 |
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bww
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| Posted: Wed May 16, 2007 5:15 am Post subject: |
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| Quote: | 2. Is ¦x - y¦>¦x - z¦?
(1) ¦y¦>¦z¦
(2) x < 0 |
(1) alone is not sufficient. This tells us that the absolute value of Y is greater than that of Z. Yet plugging in both positive and negative values for Y and Z in the question produces different inequalities (i.e. let x=5, y=+3/-3, and z=+2/-2).
(2) alone is not sufficient either. Now we can let x=-5, but without (1) we have nothing to work with.
Putting the two statements together, along with the examples we have used, is not sufficient. Let x=-5. We can have |-5-3|>|-5-2| but also |-5-(-3)|<|-5-(-2)|.
I think the answer is E. |
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