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# Veritas Prep QUESTION HELP

Author Message
Intern
Joined: 14 Jun 2019
Posts: 17
Location: United States
Concentration: Economics, Finance
GPA: 3.54

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04 Aug 2019, 04:26
2
00:00

Difficulty:

(N/A)

Question Stats:

33% (00:15) correct 67% (02:46) wrong based on 3 sessions

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Is x5>x4?

1) x3>−x
2) 1/x<x
Manager
Joined: 30 Sep 2017
Posts: 245
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40
GPA: 3.8
WE: Engineering (Real Estate)

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04 Aug 2019, 05:32
x^5>x^4
x^4.(x-1)>0
---->x^4 is certainly positive or a zero, then x-1>0 ----> x>1. Thus, the question actually ask whether x>1 or not

1) x^3>−x
x.(x^2+1)>0
--> (x^2+1) is definitely positive, then x>0
--> we were asked whether or not x>1. We only know from Statement (1) that x>0. This can either satisfy x>1 (i.e. x=2) or cannot satisfy x>1 (i.e. x=0.5)
NOT SUFFICIENT.

(2) 1/x-x<0
(1-x^2)/x<0
(1-x)(1+x)/x<0
--> The solution for the above inequality is -1<x<0 or x>1.
--> Again, we were asked whether or not x>1. We only know from statement (2) that -1<x<0 or x>1. This can either satisfy x>1 (i.e. x=2 or x>1) or cannot (i.e. x=-0.5 or -1<x<0)
NOT SUFFICIENT.

Combining both (1) and (2):
Intersecting the two following solutions:
1) x>0
2) -1<x<0 or x>1,
we obtain that x>1. This exactly addresses what is asked by the question (whether x>1 or not).
SUFFICIENT

Smack that +1 kudo if you like my explanation
Math Expert
Joined: 02 Sep 2009
Posts: 57281
Re: Veritas Prep QUESTION HELP  [#permalink]

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04 Aug 2019, 11:55
Nikita1997 wrote:
Is x5>x4?

1) x3>−x
2) 1/x<x

Discussed here: https://gmatclub.com/forum/is-x-5-x-186273.html
_________________
Re: Veritas Prep QUESTION HELP   [#permalink] 04 Aug 2019, 11:55
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