Inequality

How many negative integers m satisfy the inequality 3/m <= -7/22?

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$\dfrac{3}{m}\leq -\frac{7}{22}\\ \color{blue}m\geq-\frac{66}{7}\\ \color{blue}m\geq -9.\overline{428571}$

$m_{\mathbb Z}\in -\mathbb Z\ |\ -9\leq m\leq -1$

$m_{\mathbb Z}\in \{-9,-8,-7,-6,-5,-4,-3,-2,-1\}$

9 negative integers m satisfy the inequality 3/m <= -7/22.

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