Is \(x > 0 ?\)
(1) \(xy > 0\)
(2) \(x + y > 0\)
[spoiler]OA=C[/spoiler]
Source: GMAT Prep
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Is \(x > 0 ?\)
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terminator12
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Statement 1:
xy > 0
That can mean that either both are positive or both are negative. Hence, insufficient.
Statement 2:
x + y > 0
That can mean:
i) both are positive
ii) x is positive, y is less negative
iii) x is negative, y is more positive
Hence, this is insufficient.
Combining both statements:
We can definitely say that both are positive. Hence x > 0
Answer is C.
xy > 0
That can mean that either both are positive or both are negative. Hence, insufficient.
Statement 2:
x + y > 0
That can mean:
i) both are positive
ii) x is positive, y is less negative
iii) x is negative, y is more positive
Hence, this is insufficient.
Combining both statements:
We can definitely say that both are positive. Hence x > 0
Answer is C.
