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(a+1)(b+1)
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27 Sep 2017, 13:40
27 Sep 2017, 13:40
Expert Reply
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Question Stats:
85% (00:34) correct
14% (00:37) wrong based on 134 sessions
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Quantity A |
Quantity B |
(a+1)(b+1) |
ab+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.
Re: (a+1)(b+1)
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27 Sep 2017, 22:49
27 Sep 2017, 22:49
1
Carcass wrote:
Quantity A |
Quantity B |
(a+1)(b+1) |
ab+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.
SInce no information is given for a and b, we cannot determine which QTY is greater or less.
Therefore option D
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Re: (a+1)(b+1)
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28 Sep 2017, 13:27
28 Sep 2017, 13:27
1
Carcass wrote:
Quantity A |
Quantity B |
(a+1)(b+1) |
ab+1 |
Let's use the technique of matching operations
Given:
Quantity A: (a + 1)(b + 1)
Quantity B: ab + 1
Use the FOIL method to expand Quantity A:
Quantity A: ab + a + b + 1
Quantity B: ab + 1
Subtract ab from both quantities:
Quantity A: a + b + 1
Quantity B: 1
Subtract 1 from both quantities:
Quantity A: a + b
Quantity B: 0
Since there is no information about a and b, the variables can have ANY value
For instance...
Case i: a = 1 and b = 1
We get:
Quantity A: 1 + 1
Quantity B: 0
In this case, Quantity A is greater
Case ii: a = -1 and b = -1
We get:
Quantity A: (-1) + (-1)
Quantity B: 0
In this case, Quantity B is greater
Answer:
Show: ::
D
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