mindful wrote:Is x < y ?
(1) y = x^-3
(2) x < 0
Since Statement 2 is clearly insufficient on its own -- it offers no information about y -- consider how Statement 2 might affect Statement 1.
Statement 1: y = x˘³
Case 1: x=-1, implying that y = (-1)˘³ = -1.
In this case, x=y, so the answer to the question stem is NO.
Case 2: x=-2, implying that y = (-2)˘³ = -1/8.
In this case, x<y, so the answer to the question stem is YES.
Case 1 satisfies BOTH statements.
In Case 1, the answer to the question stem is NO.
Case 2 satisfies BOTH statements.
In Case 2, the answer to the question stem is YES.
Thus, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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