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If x^3 < x^2, which of the following must be negative?
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17 Mar 2021, 09:41
17 Mar 2021, 09:41
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If x^3 < x^2, which of the following must be negative?
A. x
B. −x
C. x^5
D. x − 1
E. x^(−1)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. x
B. −x
C. x^5
D. x − 1
E. x^(−1)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: If x^3 < x^2, which of the following must be negative?
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17 Mar 2021, 17:05
17 Mar 2021, 17:05
1
Carcass wrote:
If x^3 < x^2, which of the following must be negative?
A. x
B. −x
C. x^5
D. x − 1
E. x^(−1)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. x
B. −x
C. x^5
D. x − 1
E. x^(−1)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given: x³ < x²
This tells us that x ≠ 0. So, we can be certain that x² is POSITIVE.
Since x² is POSITIVE, we can safely divide both sides of the inequality by x²
When we do this, we get: (x³)/(x²) < 1
Simplify: x < 1
Subtract 1 from both sides to get: x - 1 < 0
In other words, x - 1 is NEGATIVE
Answer: D
gmatclubot
Re: If x^3 < x^2, which of the following must be negative? [#permalink]
17 Mar 2021, 17:05
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