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# If a^5 ≤ a, which of the following must be true?

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Intern
Joined: 26 Jan 2017
Posts: 10
Re: If a^5 ≤ a, which of the following must be true?  [#permalink]

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21 Feb 2017, 22:09
Hi,
I have understood the whole solution except for the part where a^5 reduces to a(a-1)(a+1)(a^2 -1).can anyone guide me if I am doing it correctly?.
a^5 <a
a^5 -a <0
a (a^4 -1)<0
a(a^2-1)(a^2+1)<0
a(a+1)(a-1)(a^2+1)<0
a<0 a<1 a<-1
Intern
Joined: 18 Feb 2018
Posts: 12
Re: If a^5 ≤ a, which of the following must be true?  [#permalink]

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21 Oct 2018, 09:14
can someone explain why D is wrong i could not under bunuel's answer
Re: If a^5 ≤ a, which of the following must be true?   [#permalink] 21 Oct 2018, 09:14

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