Solve for x
x\in \left(-\infty,-4\right)\cup \left(4,\infty\right)
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x^{2}>16
Add 16 to both sides.
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<-4\text{; }x>4
Rewrite |x|>4 as x<-4\text{; }x>4.
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