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# 2 < x < 4

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2 < x < 4 [#permalink]  18 Jul 2018, 09:32
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Question Stats:

63% (00:46) correct 36% (00:34) wrong based on 85 sessions
$$2 < x < 4$$

 Quantity A Quantity B $$\frac{x-3}{-x}$$ $$\frac{3-x}{-x}$$

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.

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[Reveal] Spoiler: OA

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Re: 2 < x < 4 [#permalink]  19 Jul 2018, 01:52
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To save time a suitable no to pick would be $$3$$ since for both quantities the numerator will be $$0$$
whenever 0 is divided by anything except 0 it would equal $$0$$ hence both quantities would be equal
however, for a number such as $$3.1$$
qty A would equal $$\frac{0.1}{-3.1}$$
while qty B would equal $$\frac{0.1}{3.1}$$
hence we cannot determine that one side is smaller or bigger all the time.
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Re: 2 < x < 4   [#permalink] 19 Jul 2018, 01:52
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