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How many integers m =/= 0 satisfy the inequality 1/|m| >= 1/8?  Thought it was one, but then I remembered the absolute value and wondered if it was two? not sure at all

 Apr 26, 2019
 #1
avatar+6046 
+3

\(\dfrac{1}{|m|}\geq \dfrac 1 8\\ \dfrac 1 m \geq \dfrac 1 8 \bigcup \dfrac 1 m \leq - \dfrac 1 8\\ m \leq 8 \bigcup m \geq -8\\ m \in [-8,8],~m \in \mathbb{Z}-\{0\}\\ \text{16 total integers}\)

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 Apr 26, 2019
 #2
avatar+279 
+1

Thank you!

 Apr 26, 2019

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