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# Which of the following inequalities is true?

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Which of the following inequalities is true? [#permalink]  18 Dec 2016, 15:43
Expert's post
00:00

Question Stats:

100% (00:48) correct 0% (00:00) wrong based on 18 sessions
Which of the following inequalities is true?

A. $$\frac{1}{11}< 0.08 < \frac{1}{9}$$
B. $$\frac{1}{10}< 0.11 < \frac{1}{8}$$
C. $$\frac{1}{7}< 0.17 < \frac{1}{6}$$
D. $$\frac{1}{5}< 0.26 < \frac{1}{4}$$
E. $$\frac{1}{3}< 0.08 < \frac{1}{2}$$

Drill 1
Question: 12
Page: 312-313
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: Which of the following inequalities is true? [#permalink]  18 Dec 2016, 15:59
Expert's post
Explanation

Convert the fractions to decimals to see which inequality is correct. You can divide them out (remember, numerator divided by denominator), but it might help to have some common fraction/decimal equivalents memorized. Starting with choice (A), $$\frac{1}{11} \approx 0.09$$, so this inequality is not true.

Convert the fractions in choice (B): 0.1 < 0.11 < 0.125; this inequality is true.

Hence option B is correct.
_________________

Sandy
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Re: Which of the following inequalities is true?   [#permalink] 18 Dec 2016, 15:59
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