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0 < a < b < 1
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27 Jan 2020, 03:32
27 Jan 2020, 03:32
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80% (00:31) correct
19% (00:45) wrong based on 66 sessions
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\(0 < a < b < 1\)
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
\(0\) |
\(2(a-b)\) |
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.
Kudos for the right answer and explanation
Re: 0 < a < b < 1
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27 Jan 2020, 05:40
27 Jan 2020, 05:40
1
a<b
Implies a-b < 0
Also, 2(a-b) < 0
Therefore answer is 0 (A)
Posted from my mobile device
Implies a-b < 0
Also, 2(a-b) < 0
Therefore answer is 0 (A)
Posted from my mobile device
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
0 < a < b < 1
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27 Jan 2020, 06:25
27 Jan 2020, 06:25
1
Carcass 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 are told that \(0 < a < b < 1\), we can see that Quantity A is greater
Answer: A
Cheers,
Brent
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