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GRE Prep Club Team Member
Joined: 20 Feb 2017
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If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
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27 May 2021, 21:03
27 May 2021, 21:03
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If \(x^{3.5} > y^{2.5 }> z^{1.5}\), then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
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29 May 2021, 02:39
29 May 2021, 02:39
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GeminiHeat wrote:
If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
\(x^{3.5} > y^{2.5} > z^{1.5}\)
\(x^{\frac{7}{2}} > y^{\frac{5}{2}} > z^{\frac{3}{2}}\)
\(\sqrt{x}^7 > \sqrt{y}^5 > \sqrt{z}^3\)
Since, \(\sqrt{x}, \sqrt{y}\), and \(\sqrt{z}\) cannot be negative, \(x^7 < y^5 < z^3\) cannot be true
Hence, option D
Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
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11 Jun 2024, 07:20
11 Jun 2024, 07:20
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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