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-15<x<-11
[#permalink]
07 Feb 2024, 04:53
07 Feb 2024, 04:53
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85% (01:15) correct
14% (00:37) wrong based on 7 sessions
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\(-15<x<-11\)
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 |
\(-\) \(\dfrac{1}{x^4}\) |
\(-\) \(\dfrac{1}{x^3}\) |
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.
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-15<x<-11
[#permalink]
12 Feb 2024, 17:56
12 Feb 2024, 17:56
1
Given that x must be a negative number,
Quantity A will yield a negative number because a negative number raised to an even power will be positive, and A is the opposite of that number, which is negative.
and
Quantity B will yield a positive number because a negative number raised to an odd power will be negative, and B is the opposite of that number, which is positive.
E.g., if x = -11:
Quantity A = \(- \frac{1}{-11*-11*-11*-11} = -\frac{1}{121*121} = -\frac{1}{14641}\)
Quantity B = \(- \frac{1}{-11*-11*-11} = -\frac{1}{-11*121} = \frac{1}{1331}\)
Quantity A will yield a negative number because a negative number raised to an even power will be positive, and A is the opposite of that number, which is negative.
and
Quantity B will yield a positive number because a negative number raised to an odd power will be negative, and B is the opposite of that number, which is positive.
E.g., if x = -11:
Quantity A = \(- \frac{1}{-11*-11*-11*-11} = -\frac{1}{121*121} = -\frac{1}{14641}\)
Quantity B = \(- \frac{1}{-11*-11*-11} = -\frac{1}{-11*121} = \frac{1}{1331}\)
gmatclubot
-15<x<-11 [#permalink]
12 Feb 2024, 17:56
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