Solve for x
x\in \left(-\frac{5}{2},\frac{5}{2}\right)
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x^{2}<\frac{25}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x^{2}<\left(\frac{5}{2}\right)^{2}
Calculate the square root of \frac{25}{4} and get \frac{5}{2}. Rewrite \frac{25}{4} as \left(\frac{5}{2}\right)^{2}.
|x|<\frac{5}{2}
Inequality holds for |x|<\frac{5}{2}.
x\in \left(-\frac{5}{2},\frac{5}{2}\right)
Rewrite |x|<\frac{5}{2} as x\in \left(-\frac{5}{2},\frac{5}{2}\right).
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