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# Is (2/3) x — 3/2 negative?

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Intern
Joined: 24 Nov 2012
Posts: 12
Is (2/3) x — 3/2 negative? [#permalink]

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27 Nov 2012, 00:06
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Difficulty:

45% (medium)

Question Stats:

64% (00:55) correct 36% (01:01) wrong based on 46 sessions

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Is (2/3) x — 3/2 negative?

(1) x — 2 is negative.
(2) x — 3 is negative.
[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Mar 2017, 04:52, edited 2 times in total.
Edited the tags and moved to DS forum.
Math Expert
Joined: 02 Sep 2009
Posts: 43804
Re: Is (2/3) x — 3/2 negative? [#permalink]

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27 Nov 2012, 02:53
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Is (2/3) x — 3/2 negative?

Is $$\frac{2}{3}x-\frac{3}{2}<0$$? --> is $$x<\frac{9}{4}=2.25$$?

(1) x — 2 is negative --> $$x-2<0$$ --> $$x<2$$. Sufficient.

(2) x — 3 is negative --> $$x-3<0$$ --> $$x<3$$. Not sufficient.

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Re: Is (2/3) x — 3/2 negative? [#permalink]

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29 Mar 2017, 04:50
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Re: Is (2/3) x — 3/2 negative?   [#permalink] 29 Mar 2017, 04:50
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