31. x>1 ,2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Please help me 31,37
In Problems 19-54, solve each inequality algebraically.
x - 1
19. (x – 4) (x + 6) < 0
20. (x – 5) (x + 2)² > 0
23. 2x3 > -8x?
21. x³ – 4x² > 0
22. r + &r? < 0
25. (x + 2) (x – 4) (x – 6) < 0
28. x³ + 2r? – 3x > 0
24. 3x3 < -15x²
26. (x + 1) (x + 2) (x + 3) < 0
27. x - 4x2 – 12x > 0
29. x* > x2
30. x < 9x²
31. x* > 1
32. x³ > 1
33. 3(x- 2) <2(x– 1)2+x²
x + 1
35.
> 0
x - 1
34. (x – 3) (x + 2) < x² + 3x + 5
nonaupo silt
x - 3
36.
- > 0
(x- 2) (x + 2)
37.
x + 1
<0ul
ot 38.
(x – 3) (x + 2)
(x - 3)2
39.
x² – 4
x - 1
(x + 5)2
40.
? - 4
x + 4
< 1
x - 2
x + 2
42.
x – 4
But
not
3x - 5
< 2
43.
x + 2
X – 4
44.
2x + 4
x + 1
poly45.
x - 3
anisiaw
r - 1
46.
r + 2
> -2
2
rileupsni leb 47.
x – 2
3
3x – 9
48.
>
3
x + 1
(3 + x) (x + 4)
49.
(x + 5) (x – 1)
x(x2 + 1) (x- 2)
50.
(- 1) (x + 1)
(3 – x)³(2x + 1)
< 0
51.
x' - 1
(2- x) (3x – 2)
52.
< 0
33. 6r- 5 < -
54. x +
12
< 7
x' + 1
Transcribed Image Text:In Problems 19-54, solve each inequality algebraically. x - 1 19. (x – 4) (x + 6) < 0 20. (x – 5) (x + 2)² > 0 23. 2x3 > -8x? 21. x³ – 4x² > 0 22. r + &r? < 0 25. (x + 2) (x – 4) (x – 6) < 0 28. x³ + 2r? – 3x > 0 24. 3x3 < -15x² 26. (x + 1) (x + 2) (x + 3) < 0 27. x - 4x2 – 12x > 0 29. x* > x2 30. x < 9x² 31. x* > 1 32. x³ > 1 33. 3(x- 2) <2(x– 1)2+x² x + 1 35. > 0 x - 1 34. (x – 3) (x + 2) < x² + 3x + 5 nonaupo silt x - 3 36. - > 0 (x- 2) (x + 2) 37. x + 1 <0ul ot 38. (x – 3) (x + 2) (x - 3)2 39. x² – 4 x - 1 (x + 5)2 40. ? - 4 x + 4 < 1 x - 2 x + 2 42. x – 4 But not 3x - 5 < 2 43. x + 2 X – 4 44. 2x + 4 x + 1 poly45. x - 3 anisiaw r - 1 46. r + 2 > -2 2 rileupsni leb 47. x – 2 3 3x – 9 48. > 3 x + 1 (3 + x) (x + 4) 49. (x + 5) (x – 1) x(x2 + 1) (x- 2) 50. (- 1) (x + 1) (3 – x)³(2x + 1) < 0 51. x' - 1 (2- x) (3x – 2) 52. < 0 33. 6r- 5 < - 54. x + 12 < 7 x' + 1
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