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02 Oct 2017, 00:36
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
49% (01:12) correct
51%
(01:07)
wrong
based on 223
sessions
History
Date
Time
Result
Not Attempted Yet
If r is between –1 and 0, then which of the following is true?
A. \(r^5 < r^6 < r^7\)
B. \(r^5 < 0 < r^7\)
C. \(r^7 < r^6 < r^5\)
D. \(r^7 < r^5 < r^6\)
E. \(r^3 < r^7 < r^6\)
A. \(r^5 < r^6 < r^7\)
B. \(r^5 < 0 < r^7\)
C. \(r^7 < r^6 < r^5\)
D. \(r^7 < r^5 < r^6\)
E. \(r^3 < r^7 < r^6\)
02 Oct 2017, 02:26
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The best way is to choose a number and look at the various options.
If r = -\(\frac{1}{2}\\
\\
r^5 = -\frac{1}{32} = - 0.03125, r^3 = -\frac{1}{8} = -0.125\) and \(r^7 = -\frac{1}{128} = -0.007\)
However, r^even is always positive
Options A,B and C are eliminated because, we have a even power
in between two odd powers and the positive term will always be the biggest.
\(r^7\) is greater than \(r^5\), so Option D cannot be the answer.
Therefore, \(r^3 < r^7 < r^6\)(Option E) is the answer option that is always true!
If r = -\(\frac{1}{2}\\
\\
r^5 = -\frac{1}{32} = - 0.03125, r^3 = -\frac{1}{8} = -0.125\) and \(r^7 = -\frac{1}{128} = -0.007\)
However, r^even is always positive
Options A,B and C are eliminated because, we have a even power
in between two odd powers and the positive term will always be the biggest.
\(r^7\) is greater than \(r^5\), so Option D cannot be the answer.
Therefore, \(r^3 < r^7 < r^6\)(Option E) is the answer option that is always true!
raki99
Joined: 11 Apr 2017
Last visit: 07 Apr 2021
Posts: 35
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Given Kudos: 201
Schools: Kelley '20
02 Oct 2017, 09:02
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The best way is to choose a number and look at the various options.
If r = -12,r5=−132=−0.03125,r3=−18=−0.12512,r5=−132=−0.03125,r3=−18=−0.125 and r7=−1128=−0.007r7=−1128=−0.007
However, r^even is always positive
Options A,B and C are eliminated because, we have a even power
in between two odd powers and the positive term will always be the biggest.
r7r7 is greater than r5r5, so Option D cannot be the answer.
Therefore, r3<r7<r6r3<r7<r6(Option E) is the answer option that is always true!
If r = -12,r5=−132=−0.03125,r3=−18=−0.12512,r5=−132=−0.03125,r3=−18=−0.125 and r7=−1128=−0.007r7=−1128=−0.007
However, r^even is always positive
Options A,B and C are eliminated because, we have a even power
in between two odd powers and the positive term will always be the biggest.
r7r7 is greater than r5r5, so Option D cannot be the answer.
Therefore, r3<r7<r6r3<r7<r6(Option E) is the answer option that is always true!
