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16 Sep 2014, 00:40
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16 Sep 2014, 00:40
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Official Solution:
Is \(|x - 5| > 4\)?
Is \(|x-5| > 4\)? Is \(x - 5 < -4\) or \(x - 5 > 4\)?
Is \(x < 1\) or \(x > 9\)?
(1) \(x^2-4 < 0\)"
\(x^2 < 4\);
\(-2 < x < 2\).
We can have an YES answer as well as a NO answer (consider \(x=0\) and \(x=1.5\)). Not sufficient.
(2) \(x^2 - 1 < 0\):
\(x^2 < 1\);
\( -1 < x < 1\).
Therefore, the answer to the question is YES. Sufficient.
Answer: B
Is \(|x - 5| > 4\)?
Is \(|x-5| > 4\)? Is \(x - 5 < -4\) or \(x - 5 > 4\)?
Is \(x < 1\) or \(x > 9\)?
(1) \(x^2-4 < 0\)"
\(x^2 < 4\);
\(-2 < x < 2\).
We can have an YES answer as well as a NO answer (consider \(x=0\) and \(x=1.5\)). Not sufficient.
(2) \(x^2 - 1 < 0\):
\(x^2 < 1\);
\( -1 < x < 1\).
Therefore, the answer to the question is YES. Sufficient.
Answer: B
General Discussion
31 Aug 2022, 09:36
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Bunuel
-----------------------------
Please guide me where I'm making a mistake.
For an inequality such as this:
|x - 5| > 4?
We have two cases:
Case 1: If x>=0, then
x-5 > 4
x> 9
Case 2: If x<0, then
x-5 < -4
x < 1
But x should be less than 0, right? So this case should be discarded then.
If this happens, then D is my correct answer.
I ain't sure where I'm going wrong in my approach!
Bunuel KarishmaB ScottTargetTestPrep BrentGMATPrepNow
