Question

In Problems 19-48, solve each inequality algebraically. 19. $(x - 5)^2(x + 2) < 0$ 20. $(x - 5)(x + 2)^2 > 0$ 22. $x^3 + 8x^2 < 0$ 23. $2x^3 > -8x^2$ 25. $(x - 1)(x - 2)(x - 3) \le 0$ 26. $(x + 1)(x + 2)(x + 3) \le 0$ 28. $x^3 + 2x^2 - 3x > 0$ 29. $x^4 > x^2$ 31. $x^4 > 1$ 32. $x^3 > 1$ 34. $\frac{x - 3}{x + 1} > 0$ 35. $\frac{(x - 1)(x + 1)}{x} \le 0$ 37. $\frac{(x - 2)^2}{x^2 - 1} \ge 0$ 38. $\frac{(x + 5)^2}{x^2 - 4} \ge 0$ 40. $\frac{x + 2}{x - 4} \ge 1$ 41. $\frac{3x - 5}{x + 2} \le 2$ 43. $\frac{1}{x - 2} < \frac{2}{3x - 9}$ 44. $\frac{5}{x - 3} > \frac{3}{x + 1}$

          In Problems 19-48, solve each inequality algebraically.
19. $(x - 5)^2(x + 2) < 0$
20. $(x - 5)(x + 2)^2 > 0$
22. $x^3 + 8x^2 < 0$
23. $2x^3 > -8x^2$
25. $(x - 1)(x - 2)(x - 3) \le 0$
26. $(x + 1)(x + 2)(x + 3) \le 0$
28. $x^3 + 2x^2 - 3x > 0$
29. $x^4 > x^2$
31. $x^4 > 1$
32. $x^3 > 1$
34. $\frac{x - 3}{x + 1} > 0$
35. $\frac{(x - 1)(x + 1)}{x} \le 0$
37. $\frac{(x - 2)^2}{x^2 - 1} \ge 0$
38. $\frac{(x + 5)^2}{x^2 - 4} \ge 0$
40. $\frac{x + 2}{x - 4} \ge 1$
41. $\frac{3x - 5}{x + 2} \le 2$
43. $\frac{1}{x - 2} < \frac{2}{3x - 9}$ 
44. $\frac{5}{x - 3} > \frac{3}{x + 1}$

In Problems 19-48, solve each inequality algebraically.
19. (x - 5)^2(x + 2) < 0
20. (x - 5)(x + 2)^2 > 0
22. x^3 + 8x^2 < 0
23. 2x^3 > -8x^2
25. (x - 1)(x - 2)(x - 3) ≤ 0
26. (x + 1)(x + 2)(x + 3) ≤ 0
28. x^3 + 2x^2 - 3x > 0
29. x^4 > x^2
31. x^4 > 1
32. x^3 > 1
34. (x - 3)/(x + 1) > 0
35. ((x - 1)(x + 1))/(x)≤ 0
37. ((x - 2)^2)/(x^2 - 1)≥ 0
38. ((x + 5)^2)/(x^2 - 4)≥ 0
40. (x + 2)/(x - 4)≥ 1
41. (3x - 5)/(x + 2)≤ 2
43. (1)/(x - 2) < (2)/(3x - 9)
44. (5)/(x - 3) > (3)/(x + 1)

Added by Antonio G.

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