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0.5 is between 2/n and 3/n?

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by sanju09 » Wed Oct 05, 2011 12:55 am
Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?
(A) 1 < n < 6
(B) 2 < n < 3
(C) 2 < n < 5
(D) 4 < n < 6
(E) n > 10
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Source: — Problem Solving |

by sl750 » Wed Oct 05, 2011 12:59 am
Looking at the choices, we can conclude that n is positive

2/n<1/2<3/n. Multiply by 2n, we have 4<n<6
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by Anurag@Gurome » Wed Oct 05, 2011 4:29 am
sanju09 wrote:Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?
(A) 1 < n < 6
(B) 2 < n < 3
(C) 2 < n < 5
(D) 4 < n < 6
(E) n > 10
2n < 1/2 < 3/n
2 < n/2 < 3
4 < n < 6

The correct answer is D.
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