+0

# need some helppp

0
155
2
+279

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
+6045
+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
+279
+1

Thank you!

Apr 26, 2019