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Challenge Data Sufficiency Question

by Jim@StratusPrep » Sun Jul 08, 2012 4:57 pm
Is |x-2|+ 9 < y - 8?

1) x > 7
2) y < 13


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by eagleeye » Sun Jul 08, 2012 5:27 pm
Jim@StratusPrep wrote:Is |x-2|+ 9 < y - 8?

1) x > 7
2) y < 13
Rephrasing the question in number properties makes it remarkably simple sometimes. Now,
we need to find if
|x-2| + 9 < y - 8
=> |x-2| < y -17
Since |x-2| >=0, the question rephrases to, Is 0 < y- 17 or Is y>17
So we need to find whether y>17.
Now it's easy.

1) x>7. It doesn't talk about y. Insufficient.
2) y<13. So y is not greater than 17. Sufficient.

Hence B :)
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