Is \(x > 0 ?\)

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Is \(x > 0 ?\)

by Vincen » Thu Jul 30, 2020 8:34 am

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Is \(x > 0 ?\)

(1) \(xy > 0\)
(2) \(x + y > 0\)

[spoiler]OA=C[/spoiler]

Source: GMAT Prep

Junior | Next Rank: 30 Posts
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Re: Is \(x > 0 ?\)

by terminator12 » Thu Jul 30, 2020 7:08 pm

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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.