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Re: The function {x} is defined as the lowest integer greater than or equa [#permalink]
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liammoyn wrote:
rheam25 wrote:
The function {\(x\)} is defined as the lowest integer greater than or equal to \(x\). What is the value of {\(x\)}, if \(x\) is negative?

1. -3.1 ≤ \(x\) ≤ -2.5

2. \(x^2\) ≤ 4


The two statements are contradictory. If \(x^2 ≤ 4\) then \(-2 <= x < 0\) (since \(x\) is negative) but statement 1 says that \(x <= -2.5\) which is impossible. Because of that, there is no meaning when combining the statements so the answer should be E.


Yes, you are correct that the statements contradict each other. However, this does not mean that the answer is E. It means that the question is flawed and therefore does not have a meaningful answer. Remember, on the GMAT, two data sufficiency statements always provide true information and these statements never contradict each other or the stem. If the statements contradict each other, then, as per GMAT standards, the question is flawed.

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Re: The function {x} is defined as the lowest integer greater than or equa [#permalink]
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