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If −1 < n < 0, which of the following inequalities must be true? I. n
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07 Sep 2021, 07:07
07 Sep 2021, 07:07
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If \(−1 < n < 0\), which of the following inequalities must be true?
I. \(n^4 > n^3\)
II. \(n^5 > n^3\)
III. \(n^4 − n^5 > n^2 − n^3\)
(A) None
(B) I only
(C) III only
(D) I and II only
(E) I and III only
I. \(n^4 > n^3\)
II. \(n^5 > n^3\)
III. \(n^4 − n^5 > n^2 − n^3\)
(A) None
(B) I only
(C) III only
(D) I and II only
(E) I and III only
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Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
If −1 < n < 0, which of the following inequalities must be true? I. n
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07 Sep 2021, 10:07
07 Sep 2021, 10:07
let \(n=-\frac{1}{2}\)
I. \((\frac{-1}{2})^4 >(\frac{-1}{2})^3\) TRUE
II. \((\frac{-1}{2})^5 > (\frac{-1}{2})^3\) TRUE
III. \((\frac{-1}{2})^4 − (\frac{-1}{2})^5 > (\frac{-1}{2})^2 − (\frac{-1}{2})^3\) is equivalent to
\(\frac{1}{16} − \frac{-1}{32} > \frac{1}{4} − \frac{-1}{8}\) OR \(\frac{3}{32} > \frac{3}{8}\) FALSE
answer is (D) I and II only
I. \((\frac{-1}{2})^4 >(\frac{-1}{2})^3\) TRUE
II. \((\frac{-1}{2})^5 > (\frac{-1}{2})^3\) TRUE
III. \((\frac{-1}{2})^4 − (\frac{-1}{2})^5 > (\frac{-1}{2})^2 − (\frac{-1}{2})^3\) is equivalent to
\(\frac{1}{16} − \frac{-1}{32} > \frac{1}{4} − \frac{-1}{8}\) OR \(\frac{3}{32} > \frac{3}{8}\) FALSE
answer is (D) I and II only
Carcass wrote:
If \(−1 < n < 0\), which of the following inequalities must be true?
I. \(n^4 > n^3\)
II. \(n^5 > n^3\)
III. \(n^4 − n^5 > n^2 − n^3\)
(A) None
(B) I only
(C) III only
(D) I and II only
(E) I and III only
I. \(n^4 > n^3\)
II. \(n^5 > n^3\)
III. \(n^4 − n^5 > n^2 − n^3\)
(A) None
(B) I only
(C) III only
(D) I and II only
(E) I and III only
Re: If −1 < n < 0, which of the following inequalities must be true? I. n
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07 Sep 2021, 10:43
07 Sep 2021, 10:43
1
plug any value between 0 and -1 (not 0 and -1)
in comparison of negative values, the one with greater value is the smaller one. e.g. -4 is smaller than -3.
therefore, I and II are correct options.
in comparison of negative values, the one with greater value is the smaller one. e.g. -4 is smaller than -3.
therefore, I and II are correct options.
