Solve for x
x\in (-\infty,-4\sqrt{2}]\cup [4\sqrt{2},\infty)
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x^{2}\geq \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|\geq 4\sqrt{2}
Inequality holds for |x|\geq 4\sqrt{2}.
x\leq -4\sqrt{2}\text{; }x\geq 4\sqrt{2}
Rewrite |x|\geq 4\sqrt{2} as x\leq -4\sqrt{2}\text{; }x\geq 4\sqrt{2}.
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