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If 0 < x < 1, which of the following must be true?
[#permalink]
08 Oct 2017, 00:55
08 Oct 2017, 00:55
1
Expert Reply
00:00
Question Stats:
71% (01:00) correct
28% (00:52) wrong based on 89 sessions
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If \(0 < x < 1\), which of the following must be true?
Indicate \(all\) possible choices.
❑ \(2x < x\)
❑ \(2x < 1\)
❑ \(2x > 1\)
❑ \(x^2 < x\)
❑ \(x^2 < 1\)
Re: If 0 < x < 1, which of the following must be true?
[#permalink]
09 Oct 2017, 01:42
09 Oct 2017, 01:42
1
Carcass wrote:
If \(0 < x < 1\), which of the following must be true?
Indicate \(all\) possible choices.
❑ \(2x < x\)
❑ \(2x < 1\)
❑ \(2x < 1\)
❑ \(x^2 < x\)
❑ \(x^2 < 1\)
Show: :: OA
D,E
Now x has to be fraction, let x= 0.5
Therefore only option D and E satisfy the equation because the sqaure of the fraction is always less than 1 and the number itself
i.e \(0.5^2 = 0.25<0.5\)
and \(0.5^2< 1\)
Re: If 0 < x < 1, which of the following must be true?
[#permalink]
09 Oct 2017, 07:24
09 Oct 2017, 07:24
Carcass wrote:
If \(0 < x < 1\), which of the following must be true?
Indicate \(all\) possible choices.
❑ \(2x < x\)
❑ \(2x < 1\)
❑ \(2x < 1\)
❑ \(x^2 < x\)
❑ \(x^2 < 1\)
Show: :: OA
D,E
Are answers B and C equal or is it a typo?
