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-16+4m^{2}<0
Multiply the inequality by -1 to make the coefficient of the highest power in 16-4m^{2} positive. Since -1 is negative, the inequality direction is changed.
m^{2}<4
Add 4 to both sides.
m^{2}<2^{2}
Calculate the square root of 4 and get 2. Rewrite 4 as 2^{2}.
|m|<2
Inequality holds for |m|<2.
m\in \left(-2,2\right)
Rewrite |m|<2 as m\in \left(-2,2\right).