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x<0
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07 Apr 2021, 22:36
07 Apr 2021, 22:36
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Question Stats:
83% (00:32) correct
16% (00:40) wrong based on 36 sessions
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\(x<0\)
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
\(x(x+7)\) |
\( x^2+7\) |
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: x<0
[#permalink]
08 Apr 2021, 00:36
08 Apr 2021, 00:36
1
\(x < 0\)
Qt A
\(x ( x+ 7 )\) = \(x^2 + 7x\)
Subtract both quantities with \(x^2\)
Qt A = \(7x\)
Qt B = 7
since \(x < 0\)
Qt B > Qt A
Answer B
Qt A
\(x ( x+ 7 )\) = \(x^2 + 7x\)
Subtract both quantities with \(x^2\)
Qt A = \(7x\)
Qt B = 7
since \(x < 0\)
Qt B > Qt A
Answer B
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Re: x<0
[#permalink]
08 Apr 2021, 06:05
08 Apr 2021, 06:05
Carcass wrote:
\(x<0\)
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
\(x(x+7)\) |
\( x^2+7\) |
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
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
We can solve this question using matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: \(x(x+7)\)
Quantity B: \( x^2+7\)
Expand Quantity A to get:
Quantity A: \(x^2+7x\)
Quantity B: \( x^2+7\)
Subtract \(x^2\) from both qualities:
Quantity A: \(7x\)
Quantity B: \(7\)
To be 100% sure of the answer, we can safely divide both quantities by 7 (since 7 is POSITIVE) to get:
Quantity A: \(x\)
Quantity B: \(1\)
Since we're told x is negative (\(x<0\)), we can be certain that Quantity B is the greater
Answer: B
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