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  • https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_June_2022/01%3A_Graphs_Lines_and_Inequalities/1.06%3A_Polynomial_and_Rational_Inequalities/1.6E%3A_Exercises_-_Polynomial_and_Rational_Inequalities
    17. \(x^{3}+2 x^{2}-24 x \geq 0\) 18. \(x^{3}-3 x^{2}-18 x \leq 0\) 19. \(4 x^{3}-22 x^{2}-12 x<0\) 20. \(9 x^{3}+30 x^{2}-24 x>0\) 21. \(12 x^{4}+44 x^{3}>80 x^{2}\) 22. \(6 x^{4}+12 x^{3}<48 x^{2}\)...17. \(x^{3}+2 x^{2}-24 x \geq 0\) 18. \(x^{3}-3 x^{2}-18 x \leq 0\) 19. \(4 x^{3}-22 x^{2}-12 x<0\) 20. \(9 x^{3}+30 x^{2}-24 x>0\) 21. \(12 x^{4}+44 x^{3}>80 x^{2}\) 22. \(6 x^{4}+12 x^{3}<48 x^{2}\) 29. \(9 x^{3}-3 x^{2}-81 x+27 \leq 0\) 32. \(3 x^{3}+5 x^{2}+12 x+20<0\) 38. \(\dfrac{(3 x-1)(x+6)}{(x-1)(x+9)} \geq 0\\[6pt]\) 51. \(\dfrac{3 x^{2}-4 x+1}{x^{2}-9} \leq 0\\[6pt]\) 53. \(\dfrac{x^{2}-12 x+20}{x^{2}-10 x+25}>0\\[6pt]\) 54. \(\dfrac{x^{2}+15 x+36}{x^{2}-8 x+16}<0\\[6pt]\)
  • https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/01%3A_Graphs_Lines_and_Inequalities/1.06%3A_Polynomial_and_Rational_Inequalities/1.6E%3A_Exercises_-_Polynomial_and_Rational_Inequalities
    17. \(x^{3}+2 x^{2}-24 x \geq 0\) 18. \(x^{3}-3 x^{2}-18 x \leq 0\) 19. \(4 x^{3}-22 x^{2}-12 x<0\) 20. \(9 x^{3}+30 x^{2}-24 x>0\) 21. \(12 x^{4}+44 x^{3}>80 x^{2}\) 22. \(6 x^{4}+12 x^{3}<48 x^{2}\)...17. \(x^{3}+2 x^{2}-24 x \geq 0\) 18. \(x^{3}-3 x^{2}-18 x \leq 0\) 19. \(4 x^{3}-22 x^{2}-12 x<0\) 20. \(9 x^{3}+30 x^{2}-24 x>0\) 21. \(12 x^{4}+44 x^{3}>80 x^{2}\) 22. \(6 x^{4}+12 x^{3}<48 x^{2}\) 29. \(9 x^{3}-3 x^{2}-81 x+27 \leq 0\) 32. \(3 x^{3}+5 x^{2}+12 x+20<0\) 38. \(\dfrac{(3 x-1)(x+6)}{(x-1)(x+9)} \geq 0\\[6pt]\) 51. \(\dfrac{3 x^{2}-4 x+1}{x^{2}-9} \leq 0\\[6pt]\) 53. \(\dfrac{x^{2}-12 x+20}{x^{2}-10 x+25}>0\\[6pt]\) 54. \(\dfrac{x^{2}+15 x+36}{x^{2}-8 x+16}<0\\[6pt]\)

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