For Exercises 21–54, solve the inequalities. (See Examples 1–2) 21. 4w? – 9N 0 22. 16z – 25 < 0 23. 3w? + w < 2(w + 2) 24. 5y + 7y < 3(y + 4) 25. а? > За 26. d? > 6d 27. 10 – 6x > 5x 28. 6 – 4x > 3x? 29. m? < 49 30. у — 9 31. 16р" — 2 32. 549 < 50 33. (х + 4)(х - 1)(x – 3) >0 34. (x + 2)(x + 5)(x – 4) 0 35. — 5c (с + 2)(4 - с) > 0 36. —би(и + 1)?(3— и) > 0 37. 14 10f + 9 < 0 38. w – 20w? + 64 < 0 - 39. 2x + 5x? < 8x + 20 40. Зx3 3x < 4x? – 4 41. – 2x +10x – 6x2 18x > 0 - 42. -4x + 4x + 64x + 80x 2 0 43. —5и + 28и — 15и - 0 44. – 3w + 8w 4w < 0 45. 6x(2x – 5)*(3x + 1)°(x - - 4) <0 46. 5x(3x – 2)(4x + 1)°(x – 3)* < 0 47. (5x – 3)2 > -2 - 48. (4x + 1)? > -6 49. —4 2 (х — 7)° 50. —1 2 (х + 2)° 51. 16y > 24y - 9 52. 4w? > 20w – 25 53. (x + 3)(x + 1) < -1 54. (x + 2)(x + 4) < -1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 8MRE
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For Exercises 21–54, solve the inequalities. (See Examples 1–2)
21. 4w? – 9N 0
22. 16z – 25 < 0
23. 3w? + w < 2(w + 2)
24. 5y + 7y < 3(y + 4)
25. а? > За
26. d? > 6d
27. 10 – 6x > 5x
28. 6 – 4x > 3x?
29. m? < 49
30. у — 9
31. 16р" — 2
32. 549
< 50
33. (х + 4)(х
- 1)(x – 3) >0
34. (x + 2)(x + 5)(x – 4) 0
35. — 5c (с + 2)(4 - с) > 0
36. —би(и + 1)?(3— и) > 0
37. 14
10f + 9 < 0
38. w – 20w? + 64 < 0
-
39. 2x + 5x? < 8x + 20
40. Зx3
3x < 4x? – 4
41. – 2x +10x – 6x2
18x > 0
-
42. -4x + 4x + 64x + 80x 2 0
43. —5и + 28и — 15и - 0
44. – 3w + 8w
4w < 0
45. 6x(2x – 5)*(3x + 1)°(x -
- 4) <0
46. 5x(3x – 2)(4x + 1)°(x – 3)* < 0
47. (5x – 3)2 > -2
-
48. (4x + 1)? > -6
49. —4 2 (х — 7)°
50. —1 2 (х + 2)°
51. 16y > 24y - 9
52. 4w? > 20w – 25
53. (x + 3)(x + 1) < -1
54. (x + 2)(x + 4) < -1
Transcribed Image Text:For Exercises 21–54, solve the inequalities. (See Examples 1–2) 21. 4w? – 9N 0 22. 16z – 25 < 0 23. 3w? + w < 2(w + 2) 24. 5y + 7y < 3(y + 4) 25. а? > За 26. d? > 6d 27. 10 – 6x > 5x 28. 6 – 4x > 3x? 29. m? < 49 30. у — 9 31. 16р" — 2 32. 549 < 50 33. (х + 4)(х - 1)(x – 3) >0 34. (x + 2)(x + 5)(x – 4) 0 35. — 5c (с + 2)(4 - с) > 0 36. —би(и + 1)?(3— и) > 0 37. 14 10f + 9 < 0 38. w – 20w? + 64 < 0 - 39. 2x + 5x? < 8x + 20 40. Зx3 3x < 4x? – 4 41. – 2x +10x – 6x2 18x > 0 - 42. -4x + 4x + 64x + 80x 2 0 43. —5и + 28и — 15и - 0 44. – 3w + 8w 4w < 0 45. 6x(2x – 5)*(3x + 1)°(x - - 4) <0 46. 5x(3x – 2)(4x + 1)°(x – 3)* < 0 47. (5x – 3)2 > -2 - 48. (4x + 1)? > -6 49. —4 2 (х — 7)° 50. —1 2 (х + 2)° 51. 16y > 24y - 9 52. 4w? > 20w – 25 53. (x + 3)(x + 1) < -1 54. (x + 2)(x + 4) < -1
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