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0 < a < b < 1
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04 Mar 2018, 13:48
04 Mar 2018, 13:48
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Question Stats:
87% (00:29) correct
12% (00:19) wrong based on 110 sessions
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\(0 < a < b < 1\)
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(0\) |
\(2(a-b)\) |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 7
Page: 494
Question: 7
Page: 494
Re: 0 < a < b < 1
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04 Mar 2018, 14:30
04 Mar 2018, 14:30
Expert Reply
Explanation
You know that b is greater than a, so (a – b) will always be negative, and Quantity A will always be greater. Alternatively, you can solve this one by plugging in values for a and b.
Try making \(a= \frac{1}{4}\) and \(b=\frac{1}{2}\) : The value in Quantity B is now \(2(\frac{1}{4}-\frac{1}{2})=2\frac{-1}{4}=\frac{-1}{2}\).
Quantity A is greater, so eliminate choices (B) and (C).
You know that b is greater than a, so (a – b) will always be negative, and Quantity A will always be greater. Alternatively, you can solve this one by plugging in values for a and b.
Try making \(a= \frac{1}{4}\) and \(b=\frac{1}{2}\) : The value in Quantity B is now \(2(\frac{1}{4}-\frac{1}{2})=2\frac{-1}{4}=\frac{-1}{2}\).
Quantity A is greater, so eliminate choices (B) and (C).
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Re: 0 < a < b < 1
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05 Mar 2018, 09:19
05 Mar 2018, 09:19
2
sandy wrote:
\(0 < a < b < 1\)
Quantity A |
Quantity B |
\(0\) |
\(2(a-b)\) |
We can solve this question using matching operations
Given:
Quantity A: 0
Quantity B: 2(a-b)
Expand Quantity B to get:
Quantity A: 0
Quantity B: 2a - 2b
Add 2b to both quantities to get:
Quantity A: 2b
Quantity B: 2a
Divide both quantities by 2 to get:
Quantity A: b
Quantity B: a
Since we're told that 0 < a < b < 1, we can see that Quantity A is greater.
Answer: A
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