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# If x and y are letters which correspond to points on the number line s

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Math Expert
Joined: 02 Sep 2009
Posts: 49251
If x and y are letters which correspond to points on the number line s  [#permalink]

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29 Jun 2018, 02:14
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:49) correct 33% (01:31) wrong based on 42 sessions

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If x and y are letters which correspond to points on the number line shown above, which of the following statements must be true?

A. $$x > y$$

B. $$\frac{1}{x} < \frac{1}{y}$$

C. $$\frac{1}{x}*\frac{1}{y} > 9$$

D. $$xy < \frac{1}{3}$$

E. $$x+y > 1$$

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Re: If x and y are letters which correspond to points on the number line s  [#permalink]

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29 Jun 2018, 02:38

Assume a value for x and y which satisfies the values in the number line
Using x = $$\frac{1}{5}$$ and y =$$\frac{1}{2}$$, let's evaluate the answer options.

A. $$x > y$$ -> $$0.2 > 0.5$$ (Not true)
B. $$\frac{1}{x} < \frac{1}{y}$$ -> $$5 < 2$$ (Not true)
C. $$\frac{1}{x}*\frac{1}{y} > 9$$ -> $$4*2 > 9$$ (Not true)
D. $$xy < \frac{1}{3}$$ -> $$1/8 < 1/3$$ (True)
E. $$x+y > 1$$ -> $$0.2 + 0.5 > 1$$ (Not true)

By the process of elimination, Option D($$xy < \frac{1}{3}$$) is the correct answer option.
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Re: If x and y are letters which correspond to points on the number line s &nbs [#permalink] 29 Jun 2018, 02:38
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