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QOTD#27 If x is a positive integer greater than 1, which of
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13 Oct 2016, 13:51
13 Oct 2016, 13:51
Expert Reply
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Question Stats:
96% (00:48) correct
3% (00:52) wrong based on 30 sessions
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If x is a positive integer greater than 1, which of the following has the greatest value?
A. \(\frac{1}{x}\)
B. \(\frac{1}{x+1}\)
C. \(\frac{x}{x+1}\)
D. \(\frac{x}{\frac{1}{x+1}}\)
E. \(\frac{x}{\frac{x}{x+1}}\)
A. \(\frac{1}{x}\)
B. \(\frac{1}{x+1}\)
C. \(\frac{x}{x+1}\)
D. \(\frac{x}{\frac{1}{x+1}}\)
E. \(\frac{x}{\frac{x}{x+1}}\)
Drill 2
Question: 1
Page: 286
Question: 1
Page: 286
Re: QOTD#27 If x is a positive integer greater than 1, which of
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13 Oct 2016, 13:58
13 Oct 2016, 13:58
Expert Reply
Explanation
Try Plugging In on this one. If x = 4, then choice A is \(\frac{1}{4}\) or 0.25,, choice (B) is \(\frac{1}{5}\) or 0.2,
choice (C) is \(\frac{4}{5}\) or 0.8, choice (D) is \(4/\frac{1}{5}\)=\(20\) and choice (E) is \(4/\frac{4}{5}\)=\(5\).
Hence Option D is the largest number.
Try Plugging In on this one. If x = 4, then choice A is \(\frac{1}{4}\) or 0.25,, choice (B) is \(\frac{1}{5}\) or 0.2,
choice (C) is \(\frac{4}{5}\) or 0.8, choice (D) is \(4/\frac{1}{5}\)=\(20\) and choice (E) is \(4/\frac{4}{5}\)=\(5\).
Hence Option D is the largest number.
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Re: QOTD#27 If x is a positive integer greater than 1, which of
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23 Mar 2022, 08:27
23 Mar 2022, 08:27
1
sandy wrote:
If x is a positive integer greater than 1, which of the following has the greatest value?
A. \(\frac{1}{x}\)
B. \(\frac{1}{x+1}\)
C. \(\frac{x}{x+1}\)
D. \(\frac{x}{\frac{1}{x+1}}\)
E. \(\frac{x}{\frac{x}{x+1}}\)
A. \(\frac{1}{x}\)
B. \(\frac{1}{x+1}\)
C. \(\frac{x}{x+1}\)
D. \(\frac{x}{\frac{1}{x+1}}\)
E. \(\frac{x}{\frac{x}{x+1}}\)
Drill 2
Question: 1
Page: 286
Question: 1
Page: 286
STRATEGY: The fastest approach here will be to test a single value of x that satisfies the given information (x is a positive integer greater than 1)
Let's test x = 2, and plug it into each of the answer choices...
A. \(\frac{1}{2}\)
B. \(\frac{1}{1+2} = \frac{1}{3}\)
C. \(\frac{2}{1+2}= \frac{2}{3}\)
D. \(\frac{2}{\frac{1}{1+2}}=\frac{2}{\frac{1}{3}} = (2)(\frac{3}{1}) = 6\)
E. \(\frac{2}{\frac{2}{1+2}}=\frac{2}{\frac{2}{3}} = (2)(\frac{3}{2}) = 3\)
Answer: D
