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If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
Updated on: 07 May 2023, 22:59
Updated on: 07 May 2023, 22:59
00:00
Question Stats:
50% (01:04) correct
50% (02:26) wrong based on 4 sessions
Hide Show timer Statistics
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 \(x^3 < x^2\)
Indicate all such statements.
A \(x < \frac{1}{x}\)
B \(x^2 < x\)
C \(x^3 < x^2\)
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.
Last edited by Carcass on 07 May 2023, 22:59, edited 4 times in total.
UPDATED
Re: If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
07 May 2023, 10:01
07 May 2023, 10:01
Expert Reply
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
_________________
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
_________________
Re: If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
07 May 2023, 22:54
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
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.
Re: If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
08 May 2023, 01:49
08 May 2023, 01:49
Expert Reply
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
_________________
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
_________________
Re: If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
29 Aug 2023, 10:53
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?
Re: If -1 < x < 1 and x0, which of the following statements must be true?
[#permalink]
29 Aug 2023, 11:26
29 Aug 2023, 11:26
Expert Reply
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
_________________
gmatclubot
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