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