Solve for x
x\in \begin{bmatrix}-\frac{4}{9},\frac{4}{9}\end{bmatrix}
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x^{2}\leq \frac{16}{81}
Divide both sides by 81. Since 81 is positive, the inequality direction remains the same.
x^{2}\leq \left(\frac{4}{9}\right)^{2}
Calculate the square root of \frac{16}{81} and get \frac{4}{9}. Rewrite \frac{16}{81} as \left(\frac{4}{9}\right)^{2}.
|x|\leq \frac{4}{9}
Inequality holds for |x|\leq \frac{4}{9}.
x\in \begin{bmatrix}-\frac{4}{9},\frac{4}{9}\end{bmatrix}
Rewrite |x|\leq \frac{4}{9} as x\in \left[-\frac{4}{9},\frac{4}{9}\right].
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