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Moderator  Joined: 18 Apr 2015
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If 0 < x < 1, which of the following must be true? [#permalink]
Expert's post 00:00

Question Stats: 66% (00:46) correct 33% (00:37) wrong based on 9 sessions

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

_________________
Director Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 , given: 124

Re: If 0 < x < 1, which of the following must be true? [#permalink]
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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Director Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344 , given: 66

Re: If 0 < x < 1, which of the following must be true? [#permalink]
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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