Is $x > 0 ?$

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

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

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Source: Beat The GMAT — Data Sufficiency | Thu Jul 30, 2020 8:34 am

terminator12: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Tue Jul 28, 2020 9:01 pm

Re: Is $x > 0 ?$

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

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.

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