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n is an integer different from zero
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28 Jun 2021, 06:32
28 Jun 2021, 06:32
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Question Stats:
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n is an integer different from zero
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(n+2 \) |
\(\frac{2n+1}{n }\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: n is an integer different from zero
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28 Jun 2021, 07:57
28 Jun 2021, 07:57
1
Take
\(n = 1\) :: Qt A = Qt B
\(n = 2\) :: Qt A > Qt B
Answer D
\(n = 1\) :: Qt A = Qt B
\(n = 2\) :: Qt A > Qt B
Answer D
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n is an integer different from zero
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29 Jun 2021, 05:35
29 Jun 2021, 05:35
1
Carcass wrote:
n is an integer different from zero
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(n+2 \) |
\(\frac{2n+1}{n }\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Useful (and often-tested) property: \(\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}\)
Given:
QUANTITY A: \(n+2 \)
QUANTITY B: \(\frac{2n+1}{n }\)
Apply the above property to quantity B to get:
QUANTITY A: \(n+2 \)
QUANTITY B: \(2+\frac{1}{n }\)
Subtract \(2\) from both quantities:
QUANTITY A: \(n\)
QUANTITY B: \(\frac{1}{n }\)
At this point we can see that, when \(n = 1\), the two quantities are equal, and when \(n = 2\), the two quantities are NOT equal
Answer: D
