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How many integers \(m \neq 0\) satisfy the inequality \(\frac{1}{|m|}\geq \frac{1}{8}\)?

 Jul 17, 2020
 #1
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1 / |m|  >=  1 / 8

 

Multiply both sides by 8 and by |8|:

 

8  >=  |m|     --->     |m|  <=  8     --->     -8  <=  m  <=  8

 Jul 17, 2020

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