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x^{2}<16
Add 16 to both sides.
x^{2}<4^{2}
Calculate the square root of 16 and get 4. Rewrite 16 as 4^{2}.
|x|<4
Inequality holds for |x|<4.
x\in \left(-4,4\right)
Rewrite |x|<4 as x\in \left(-4,4\right).