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If x is negative, is x < -3 ?

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Manager
Manager
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S
Joined: 15 Jul 2016
Posts: 105
Location: India
GMAT 1: 690 Q48 V36
Re: If x is negative, is x < -3 ?  [#permalink]

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New post 29 Jul 2019, 05:36
In Statement 2,

x^3 < -9

We can safely cube on both sides (since we know that cubing, unlike even roots, does not change the signs)

x< cube root of -9.

Now, if it were x<cube root of -8, we could have had x<-2... but since we have a slightly higher number, we can approximate and say that the number will be slightly lesser than -2 (we are on the negative side of number line, hence lesser).

Hence, the number could be between -3 and -2.xx or less than -3.

Hence, no sufficient answer with St B.
Intern
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B
Joined: 30 Oct 2019
Posts: 20
Location: United Kingdom
Concentration: General Management, Technology
GPA: 4
Re: If x is negative, is x < -3 ?  [#permalink]

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New post 16 Nov 2019, 16:44
surendar26 wrote:
If x is negative, is x < –3 ?

(1) x^2 > 9
(2) x^3 < –9


(1) x > 3, or x <-3 , since x neg, x<-3..SUFF
(2) x^3 < -9.. this can be satisfied by x=-3 (NO) and -4 (YES).. NOT SUFFICIENT

Ans: A
GMAT Club Bot
Re: If x is negative, is x < -3 ?   [#permalink] 16 Nov 2019, 16:44

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