lheiannie07 wrote:Is xy > 3 ?
(1) x + y > 3
(2) x - y > 3
Statement 1: x+y > 3
Case 1: x=10 and y=0, with the result that x+y = 10+0 = 10
In this case, xy = 10*0 = 0, so the answer to the question stem is NO.
Case 2: x=10 and y=1, with the result that x+y = 10+1 = 11
In this case, xy = 10*1 = 10, so the answer to the question stem is YES.
Since the answer to the question stem is NO in Case 1 but YES in Case 2, INSUFFICIENT.
Cases 1 and 2 also satisfy Statement 2.
Since each case satisfies both statements -- and the answer to the question stem is NO in Case 1 but YES in Case 2 -- the two statements combined are INSUFFICIENT.
The correct answer is
E.
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