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x^{2}<3
Add 3 to both sides.
x^{2}<\left(\sqrt{3}\right)^{2}
Calculate the square root of 3 and get \sqrt{3}. Rewrite 3 as \left(\sqrt{3}\right)^{2}.
|x|<\sqrt{3}
Inequality holds for |x|<\sqrt{3}.
x\in \left(-\sqrt{3},\sqrt{3}\right)
Rewrite |x|<\sqrt{3} as x\in \left(-\sqrt{3},\sqrt{3}\right).