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x > 0
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22 Apr 2018, 13:56
22 Apr 2018, 13:56
Expert Reply
00:00
Question Stats:
84% (00:29) correct
15% (00:46) wrong based on 32 sessions
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\(x > 0\)
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 |
\((\frac{1}{3})^x\) |
\((\frac{-1}{2})^x\) |
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: 9
Page: 353-354
Question: 9
Page: 353-354
Re: x > 0
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22 Apr 2018, 14:12
22 Apr 2018, 14:12
Expert Reply
Explanation
Evaluate the relationship between the quantities by plugging in values for x.
If x = 2, then Quantity A is \(\frac{1}{9}\) and Quantity B is \(\frac{1}{4}\); Quantity B is greater, so eliminate answer choices
(A) and (C).
Now, if x = 3, then Quantity A is \(\frac{1}{27}\)and Quantity B is \(\frac{-1}{8}\); Quantity A is now greater, so eliminate choice (B), and you’re left with choice (D).
Evaluate the relationship between the quantities by plugging in values for x.
If x = 2, then Quantity A is \(\frac{1}{9}\) and Quantity B is \(\frac{1}{4}\); Quantity B is greater, so eliminate answer choices
(A) and (C).
Now, if x = 3, then Quantity A is \(\frac{1}{27}\)and Quantity B is \(\frac{-1}{8}\); Quantity A is now greater, so eliminate choice (B), and you’re left with choice (D).
Re: x > 0
[#permalink]
23 Apr 2018, 03:57
23 Apr 2018, 03:57
1
Can be checked for 1 and 2,
In each of these 2 cases, either of the terms have higher values. Hence the answer is D.
In each of these 2 cases, either of the terms have higher values. Hence the answer is D.
