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# Which of the following inequalities is true?

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
Which of the following inequalities is true?  [#permalink]

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27 Jun 2018, 20:37
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Difficulty:

15% (low)

Question Stats:

75% (01:07) correct 25% (01:20) wrong based on 53 sessions

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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. $$\frac{1}{3}< 0.08 < \frac{1}{2}$$

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Re: Which of the following inequalities is true?  [#permalink]

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27 Jun 2018, 22:33

Solution

To find:
• From the given inequalities in the option choices, which one is true

Approach and Working:
We can convert the fractions into corresponding approximate decimal values to compare them as follows:
• $$\frac{1}{11} < 0.08 < \frac{1}{9}$$
o 0.09 < 0.08 < 0.11 Not true as 0.09 is not less than 0.08

• $$\frac{1}{10} < 0.11 < \frac{1}{8}$$
o 0.10 < 0.11 < 0.125 True

• $$\frac{1}{7} < 0.17 < \frac{1}{6}$$
o 0.142 < 0.17 < 0.167 Not true as 0.167 not greater than 0.17

• $$\frac{1}{5} < 0.26 < \frac{1}{4}$$
o 0.20 < 0.26 < 0.25 Not true as 0.25 not greater than 0.26

• $$\frac{1}{3} < 0.08 < \frac{1}{2}$$
o 0.33 < 0.08 < 0.5 Not true as 0.08 not greater than 0.33

Hence, the correct answer is option B.

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Re: Which of the following inequalities is true? &nbs [#permalink] 27 Jun 2018, 22:33
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