GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If −1 < n < 0, which of the following inequalities must be true? I. n
[#permalink]
07 Sep 2021, 07:07
07 Sep 2021, 07:07
Expert Reply
2
Bookmarks
00:00
Question Stats:
47% (01:41) correct
52% (01:03) wrong based on 36 sessions
Hide Show timer Statistics
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
Retired Moderator
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
[#permalink]
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
[#permalink]
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.
