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If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 00:17
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If x is negative, is x <3? (1) x^2 > 9 (2) x^3 < 9 OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/ifxisnegat ... 07229.html
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 00:44
IEsailor wrote: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 < 9 (1) x^2>9 x>3 x>3 OR x<3. Not Sufficient. (2) x^3<9 The greatest value of x can be between 2 and 3. 2^3=8 3^3=27 So, x is definitely less than 2 but we don't know whether it is less than 3. Not Sufficient. Combining both we know x<3. Ans: "C"
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 00:52
a gives x > 3 meaning regions x<3 and x>3. not sufficient. b gives x < 0. x < =3 and 2<x<=3. not sufficient. a+b region x<3 is the answer. C
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 05:30
(1) (x3)(x+3) > 0 x < 3 or x > 3 (2) x^3 < 9 x is ve, but if x = 2.5 (2.5)^3 < 9, but x > 3 (1) + (2) x < 3 Answer  C
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 08:09
1) \(x<3\) and \(x>3\), we are given that \(x<0\), so only \(x<3\) holds true, sufficient
2) \(x<2.2\) (it's estimation of \(\sqrt[3]{9})\), not sufficient.
(A)



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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 08:38
ulm wrote: 1) \(x<3\) and \(x>3\), we are given that \(x<0\), so only \(x<3\) holds true, sufficient
2) \(x<2.2\) (it's estimation of \(\sqrt[3]{9})\), not sufficient.
(A) True!!! Thanks!!!
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 12:28
I also missed that x is negative in the question steam. Thanks for pointing out.



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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 13:16
from stmnt (2) x.x.x<9 if x=3 , x.x.x=27 ,27<9 , 3>3 the answer is no if x=4 ,x.x.x=64, 64<9 , 4>3 the answer is no by taking different values we can conclude that x is not greater than 3.
by taking x=2, x.x.x=8, 8 is not less than 9 ,which makes statement (2) false.
Then answer is (d)
Is my above reasoning correct. plz explain



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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 13:40
TomB wrote: from stmnt (2) x.x.x<9 if x=3 , x.x.x=27 ,27<9 , 3>3 the answer is no if x=4 ,x.x.x=64, 64<9 , 4>3 the answer is no by taking different values we can conclude that x is not greater than 3.
by taking x=2, x.x.x=8, 8 is not less than 9 ,which makes statement (2) false.
Then answer is (d)
Is my above reasoning correct. plz explain What if x=2.5. Nowhere it's mentioned that x must be an integer.
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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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19 May 2011, 15:40
Good point there @ulm.
1. Sufficient
as x<3
2. Not sufficient
x^3<9
=> x may or may not be less than 3.
Answer is A.



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Re: If x is negative, is x <3? (1) x^2 > 9 (2) x^3 <
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29 Nov 2017, 00:47




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