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Is x < 0? (1) -2x > 0 (2) x^3 < 0

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Joined: 13 Sep 2016
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Is x < 0? (1) -2x > 0 (2) x^3 < 0  [#permalink]

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New post 16 May 2018, 17:52
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

92% (00:17) correct 8% (00:11) wrong based on 12 sessions

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Is x < 0?


(1) -2x > 0

(2) x^3 < 0
CEO
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Joined: 12 Sep 2015
Posts: 2707
Location: Canada
Re: Is x < 0? (1) -2x > 0 (2) x^3 < 0  [#permalink]

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New post 16 May 2018, 18:08
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Top Contributor
alanforde800Maximus wrote:
Is x < 0?

(1) -2x > 0
(2) \(x^3\) < 0


Target question: Is x < 0?

Statement 1: -2x > 0
Divide both sides by -2 to get: x < 0 [since we're dividing both sides of an inequality by a NEGATIVE value, we REVERSE the inequality symbol]
So, the answer to the target question is YES, x < 0
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x^3 < 0
Since x^2 must be POSITIVE here, we can safely divide both sides of the inequality by x^2 to get: x < 0
So, the answer to the target question is YES, x < 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Re: Is x < 0? (1) -2x > 0 (2) x^3 < 0  [#permalink]

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New post 16 May 2018, 22:33
These YES or NO questions may seem simple but can be tricky

In this question it is asked whether x < 0. It doesn't matter if x<0 or x>0, if using the information given in a statement you can determine if x is positive or negative, the statement is sufficient even if x comes out positive.

(1) x is negative
(2) x^3 is negative, therefore x is negative

Answer: D
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Re: Is x < 0? (1) -2x > 0 (2) x^3 < 0  [#permalink]

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New post 16 May 2018, 22:38
Re: Is x < 0? (1) -2x > 0 (2) x^3 < 0 &nbs [#permalink] 16 May 2018, 22:38
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