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# 1 < 3X< 2

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Kudos [?]: 977 [0], given: 4499

1 < 3X< 2 [#permalink]  20 Oct 2017, 02:34
Expert's post
00:00

Question Stats:

100% (00:48) correct 0% (00:00) wrong based on 6 sessions

$$1 < 3X< 2$$

 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.
[Reveal] Spoiler: OA

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Joined: 03 Sep 2017
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Kudos [?]: 327 [2] , given: 66

Re: 1 < 3X< 2 [#permalink]  20 Oct 2017, 02:38
2
KUDOS
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!
Re: 1 < 3X< 2   [#permalink] 20 Oct 2017, 02:38
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