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If -1 < x < 1 and x0, which of the following statements must be true?

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SamirGalal
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If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   Updated on: 07 May 2023, 22:59
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If \(-1 < x < 1\) and x≠0, which of the following statements must be true?
Indicate all such statements.

A \(x < \frac{1}{x}\)

B \(x^2 < x\)

C \(x^3 < x^2\)
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C

Originally posted by SamirGalal on 07 May 2023, 05:33.
Last edited by Carcass on 07 May 2023, 22:59, edited 4 times in total.
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Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   07 May 2023, 10:01
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Hi sir

the answer choices are not so clear. could you fix them

A x<1x

is 1x 1/x or 1^x or 1|x|

Could you please clarify ?

Thank you
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SamirGalal
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Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   07 May 2023, 22:54
Carcass wrote:
Hi sir

the answer choices are not so clear. could you fix them

A x<1x

is 1x 1/x or 1^x or 1|x|

Could you please clarify ?

Thank you


Amended. Thanks.
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Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   08 May 2023, 01:49
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level question at most 2

Just picking numbers, even the extremes even though they are not included

A -1<-1 NOT true

B 1<-1 NOT true

C -1<1 this is TRUE

C is the only answer
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Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   29 Aug 2023, 10:53
In the first option x < 1/x, assuming x is a fraction or decimal, then 1/x = reverse of a fraction or decimal. So if we try x = 0.25, then 0.25 < 1/0.25. Which can become 0.25 < 4 or 1/4 < 4. And when x = -0.25, then -0.25 < 1/(-0.25). So -0.25 < -4 or -1/4 < -4. And this is incorrect. Is this why option 1 is not the correct answer?
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Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink] New post   29 Aug 2023, 11:26
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Vini1987 wrote:
In the first option x < 1/x, assuming x is a fraction or decimal, then 1/x = reverse of a fraction or decimal. So if we try x = 0.25, then 0.25 < 1/0.25. Which can become 0.25 < 4 or 1/4 < 4. And when x = -0.25, then -0.25 < 1/(-0.25). So -0.25 < -4 or -1/4 < -4. And this is incorrect. Is this why option 1 is not the correct answer?



Hi

I have explained above.

What point is not clear ?

Let me know, I will explain further
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gmatclubot
Re: If -1 < x < 1 and x0, which of the following statements must be true? [#permalink]
29 Aug 2023, 11:26
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