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m^{2}<8
Add 8 to both sides.
m^{2}<\left(2\sqrt{2}\right)^{2}
Calculate the square root of 8 and get 2\sqrt{2}. Rewrite 8 as \left(2\sqrt{2}\right)^{2}.
|m|<2\sqrt{2}
Inequality holds for |m|<2\sqrt{2}.
m\in \left(-2\sqrt{2},2\sqrt{2}\right)
Rewrite |m|<2\sqrt{2} as m\in \left(-2\sqrt{2},2\sqrt{2}\right).