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Which of the following inequalities is true?
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18 Dec 2016, 15:43
18 Dec 2016, 15:43
Expert Reply
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Question Stats:
92% (00:51) correct
7% (00:34) wrong based on 77 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. \(\frac{1}{3}< 0.08 < \frac{1}{2}\)
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
Question: 12
Page: 312-313
Re: Which of the following inequalities is true?
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18 Dec 2016, 15:59
18 Dec 2016, 15:59
Expert Reply
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.
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.
Re: Which of the following inequalities is true?
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15 Dec 2021, 03:19
15 Dec 2021, 03:19
Expert Reply
