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given a < 0
[#permalink]
02 Jul 2017, 15:29
02 Jul 2017, 15:29
Expert Reply
2
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Question Stats:
79% (00:16) correct
20% (00:23) wrong based on 131 sessions
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a < 0
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 |
a² |
2a |
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: 1
Page: 352
Question: 1
Page: 352
Retired Moderator
Joined: 10 Apr 2015
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Given Kudos: 136
Re: given a < 0
[#permalink]
08 Jul 2017, 05:56
08 Jul 2017, 05:56
sandy wrote:
a < 0
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 |
a^2 |
2a |
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: 1
Page: 352
Question: 1
Page: 352
Given:
QUANTITY A: a²
QUANTITY B: 2a
Since a is negative, we know that a² = (negative)(negative) = some POSITIVE number
Since a is negative, we know that 2a = (2)(negative) = some NEGATIVE number
So, we get:
QUANTITY A: some POSITIVE number
QUANTITY B: some NEGATIVE number
Answer: A
RELATED VIDEO
Re: given a < 0
[#permalink]
22 Apr 2018, 14:04
22 Apr 2018, 14:04
Expert Reply
Explanation
Try Plugging In.
If a = –3, then Quantity A is \((-3)^2 = 9\) and Quantity B is \(2(-3) = -6\).
Notice that Quantity A must always be positive because anything raised to an even power is positive. Quantity B must be negative because a positive times a negative is always negative.
Thus, Quantity A must always be greater.
Try Plugging In.
If a = –3, then Quantity A is \((-3)^2 = 9\) and Quantity B is \(2(-3) = -6\).
Notice that Quantity A must always be positive because anything raised to an even power is positive. Quantity B must be negative because a positive times a negative is always negative.
Thus, Quantity A must always be greater.
