Final Answer
$x>-\frac{1}{4}$
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Step-by-step Solution
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1
Divide $5$ by $2$
$\frac{5}{2}x\left(x+1\right)+\frac{3}{2}\left(-x^2-\frac{4}{3}x+\frac{1}{24}\right)>0$
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$\frac{5}{2}x\left(x+1\right)+\frac{3}{2}\left(-x^2-\frac{4}{3}x+\frac{1}{24}\right)>0$
Learn how to solve problems step by step online. Solve the inequality 5/2x(x+1)+3/2(-x^2+-4/3x+1/24)>0. Divide 5 by 2. Divide 3 by 2. Divide -4 by 3. Multiply the single term \frac{3}{2} by each term of the polynomial \left(-x^2-\frac{4}{3}x+\frac{1}{24}\right).
Final Answer
$x>-\frac{1}{4}$