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# Is x positive? (1) x^2 + 10 x > 0 (2) 3^x > 1

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Math Expert
Joined: 02 Sep 2009
Posts: 45251
Is x positive? (1) x^2 + 10 x > 0 (2) 3^x > 1 [#permalink]

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29 Oct 2017, 01:41
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Difficulty:

45% (medium)

Question Stats:

63% (01:01) correct 37% (00:45) wrong based on 57 sessions

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Is x positive?

(1) x^2 + 10 x > 0
(2) 3^x > 1

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Joined: 25 Feb 2013
Posts: 1108
Location: India
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Is x positive? (1) x^2 + 10 x > 0 (2) 3^x > 1 [#permalink]

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29 Oct 2017, 11:37
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Bunuel wrote:
Is x positive?

(1) x^2 + 10 x > 0
(2) 3^x > 1

Statement 1: implies $$x(x+10)>0$$

$$=> x<-10$$ or $$x>0$$. clearly $$x$$ can be negative or positive. Hence insufficient

Statement 2: $$3^x>3^0 => x>0$$. Sufficient

Option B
Is x positive? (1) x^2 + 10 x > 0 (2) 3^x > 1   [#permalink] 29 Oct 2017, 11:37
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