Solve for m
m\in \left(-\frac{1}{5},0\right)
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-5m-1<0 m<0
For the quotient to be positive, -5m-1 and m have to be both negative or both positive. Consider the case when -5m-1 and m are both negative.
m\in \left(-\frac{1}{5},0\right)
The solution satisfying both inequalities is m\in \left(-\frac{1}{5},0\right).
m>0 -5m-1>0
Consider the case when -5m-1 and m are both positive.
m\in \emptyset
This is false for any m.
m\in \left(-\frac{1}{5},0\right)
The final solution is the union of the obtained solutions.
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