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x^{2}<8\times 2
Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.
x^{2}<16
Multiply 8 and 2 to get 16.
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).