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1 < 3X< 2
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20 Oct 2017, 02:34
20 Oct 2017, 02:34
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Question Stats:
84% (00:44) correct
15% (00:54) wrong based on 108 sessions
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\(1 < 3X< 2\)
Quantity A |
Quantity B |
\(x^5\) |
\(x^7\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 1 < 3X< 2
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20 Oct 2017, 02:38
20 Oct 2017, 02:38
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The condition on x, dividing by 3 becomes \(\frac{1}{3}<x<\frac{2}{3}\). Thus, x is a number between 0 and 1, so that when it is raised to a power it becomes smaller. Therefore, when raised to power of 7 it is even smaller than when raised to 5 power.
Quantity A is greater!
Quantity A is greater!
Re: 1 < 3X< 2
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30 Jun 2020, 07:10
30 Jun 2020, 07:10
1
Knowing X is positive, we can divide both side by x^5:
so Quantity A will be = 1, Quantity B = X^2
If 1/3<x<2/3 place in Quantity B it will be smaller than 1. Therefore A is the answer!
so Quantity A will be = 1, Quantity B = X^2
If 1/3<x<2/3 place in Quantity B it will be smaller than 1. Therefore A is the answer!
