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Which of the following inequalities have at least one positi

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Joined: 18 Apr 2015
Posts: 5888
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Kudos [?]: 1154 [0], given: 5471

Which of the following inequalities have at least one positi [#permalink]  22 Nov 2017, 13:34
Expert's post
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Question Stats:

66% (00:47) correct 33% (00:43) wrong based on 9 sessions
Which of the following inequalities have at least one positive solution and at least one negative solution?

Indicate $$all$$ such inequalities.

❑ $$\frac{5}{3} x < x$$

❑ $$x^3 < x$$

❑ $$x - 6 < x - 7$$
[Reveal] Spoiler: OA

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Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 [2] , given: 5471

Re: Which of the following inequalities have at least one positi [#permalink]  22 Nov 2017, 14:06
2
KUDOS
Expert's post
Explanation

A) $$\frac{5}{3} x < x$$; $$5x < 3x$$ ; $$2x < 0$$; $$x < 0$$

B) $$x^3 - x < 0$$ ; $$x (x^2 - 1) < 0$$; $$x < 0$$ and $$x^2 < 1$$; $$x < +/- 1.$$ Correct

C) $$x - x < -7 + 6 ; 0 < -1$$
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Re: Which of the following inequalities have at least one positi   [#permalink] 22 Nov 2017, 14:06
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