In Problems 19–48, solve each inequality algebraically. 19. (x – 5) (x + 2) < 0 22. x + &x? < 0 20. (x – 5) (x + 2)² > 0 23. 2x > -8x? \21. x - 4x >0 24. 3x < -15x? 25. (x – 1)(x – 2) (x – 3) s 0 26. (x + 1) (x + 2) (x + 3) s 0 27. x - 2x2 - 3x >0 28. x + 2x? – 3x >0 29. x* >x 30. x< 9x? x +1 33. X - 1 31. x*>1 32. x > 1 >0 (x - 1) (x + 1) 35. (x – 3) (x + 2) 36. 34. x +1 x - 1 (x – 2)? (x + 5)² x + 4 39. X - 2 37. 20 20 38. x² - 4 s1 x - 1 x + 2 40. X - 4 3x - 5 41. X + 2 *- 4 <2 42. 2x + 4 x*(3 + x) (x + 4) 2 1 43. X - 2 5 44. X - 3 45. Зх — 9 x + 1 (x + 5) (x – 1) x(x² + 1) (x – 2) 46. (3 – x)*(2x + 1) x - 1 (2 – x)*(3x – 2) 20 47. <0 48. <0 (x – 1) (x + 1) x' +1

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