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# Which of the following indicates all x such that x^2 < x?

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Math Expert
Joined: 02 Sep 2009
Posts: 59568
Which of the following indicates all x such that x^2 < x?  [#permalink]

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21 Nov 2019, 00:54
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Difficulty:

45% (medium)

Question Stats:

69% (00:57) correct 31% (00:56) wrong based on 26 sessions

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Which of the following indicates all $$x$$ such that $$x^2 < x$$?

(A) $$-1 < x < 0$$

(B) $$-1 < x < 1$$

(C) $$0 < x < 1$$

(D) $$x < 0$$

(E) $$x > 1$$
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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
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Re: Which of the following indicates all x such that x^2 < x?  [#permalink]

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21 Nov 2019, 01:03
Bunuel wrote:
Which of the following indicates all $$x$$ such that $$x^2 < x$$?

(A) $$-1 < x < 0$$

(B) $$-1 < x < 1$$

(C) $$0 < x < 1$$

(D) $$x < 0$$

(E) $$x > 1$$

x^2 < x holds true when x is a positive fraction .

1. x^2 must be positive or 0. Thus x must be positive .

Option C works here.
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Re: Which of the following indicates all x such that x^2 < x?  [#permalink]

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24 Nov 2019, 19:12
Bunuel wrote:
Which of the following indicates all $$x$$ such that $$x^2 < x$$?

(A) $$-1 < x < 0$$

(B) $$-1 < x < 1$$

(C) $$0 < x < 1$$

(D) $$x < 0$$

(E) $$x > 1$$

In order for x^2 to be less than x, x must be a number between 0 and 1. .

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Re: Which of the following indicates all x such that x^2 < x?   [#permalink] 24 Nov 2019, 19:12
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