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If 0 < x < 1, which of the following must be true?

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If 0 < x < 1, which of the following must be true? [#permalink] New post 08 Oct 2017, 00:55
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If \(0 < x < 1\), which of the following must be true?

Indicate \(all\) possible choices.


❑ \(2x < x\)

❑ \(2x < 1\)

❑ \(2x > 1\)

❑ \(x^2 < x\)

❑ \(x^2 < 1\)

[Reveal] Spoiler: OA
D,E
[Reveal] Spoiler: OA

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Re: If 0 < x < 1, which of the following must be true? [#permalink] New post 09 Oct 2017, 01:42
Carcass wrote:


If \(0 < x < 1\), which of the following must be true?

Indicate \(all\) possible choices.


❑ \(2x < x\)

❑ \(2x < 1\)

❑ \(2x < 1\)

❑ \(x^2 < x\)

❑ \(x^2 < 1\)

[Reveal] Spoiler: OA
D,E



Now x has to be fraction, let x= 0.5

Therefore only option D and E satisfy the equation because the sqaure of the fraction is always less than 1 and the number itself

i.e \(0.5^2 = 0.25<0.5\)

and \(0.5^2< 1\)
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Re: If 0 < x < 1, which of the following must be true? [#permalink] New post 09 Oct 2017, 07:24
Carcass wrote:


If \(0 < x < 1\), which of the following must be true?

Indicate \(all\) possible choices.


❑ \(2x < x\)

❑ \(2x < 1\)

❑ \(2x < 1\)

❑ \(x^2 < x\)

❑ \(x^2 < 1\)

[Reveal] Spoiler: OA
D,E


Are answers B and C equal or is it a typo?
Re: If 0 < x < 1, which of the following must be true?   [#permalink] 09 Oct 2017, 07:24
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If 0 < x < 1, which of the following must be true?

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