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x^{2}\leq \left(4\sqrt{2}\right)^{2}
Calculate the square root of 32 and get 4\sqrt{2}. Rewrite 32 as \left(4\sqrt{2}\right)^{2}.
|x|\leq 4\sqrt{2}
Inequality holds for |x|\leq 4\sqrt{2}.
x\in \begin{bmatrix}-4\sqrt{2},4\sqrt{2}\end{bmatrix}
Rewrite |x|\leq 4\sqrt{2} as x\in \left[-4\sqrt{2},4\sqrt{2}\right].