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04 Aug 2019, 04:26
Kudos
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C
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Difficulty:
(N/A)
Question Stats:
25% (00:15) correct
75%
(02:21)
wrong
based on 4
sessions
History
Date
Time
Result
Not Attempted Yet
Is x5>x4?
1) x3>−x
2) 1/x<x
1) x3>−x
2) 1/x<x
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04 Aug 2019, 05:32
Kudos
Bookmarks
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
Answer is (C)
Smack that +1 kudo if you like my explanation
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
Answer is (C)
Smack that +1 kudo if you like my explanation
04 Aug 2019, 11:55
Kudos
Bookmarks
Nikita1997
Discussed here: is-x-5-x-186273.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
