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