In Exercises 27–48, solve each linear inequality. 27. 5x + 11 < 26 28. 2x + 5 < 17 29. 3x - 7 2 13 30. &r - 2 2 14 31. -9x 2 36 32. -5x s 30 33. &r - 11 s 3x – 13 34. 18r + 45 s 12x - 8 35. 4(x + 1) + 2 2 3x + 6 36. &r + 3 > 3(2x + 1) + x + 5 37. 2x – 11 < -3(x + 2) 38. -4(x + 2) > 3x + 20 40. 5(3 - x) s 3x – 1 39. 1 (x + 3) 2 4 - 2x 3 3x 1 41. 4 + 1 2 42. + 12 10 5 10 3 43. 1 > 4 4 44. 7 2 5 45. 5 4x - 3 46. 2r - 1 + 2 2 9 18 6. 12 47. 3[3(x + 5) + &x + 7] + 5[3(x – 6) – 2(3x – 5)] < 2(4x + 3) 48. 5[3(2 – 3x) – 2(5 – x)] – 6[5(x – 2) – 2(4x – 3)] < 3x + 19 V 2. VI

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter2: Solving Linear Inequalities
Section2.4: Solving Multi-step Inequalities
Problem 6E
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In Exercises 27–48, solve each linear inequality.
27. 5x + 11 < 26
28. 2x + 5 < 17
29. 3x - 7 2 13
30. &r - 2 2 14
31. -9x 2 36
32. -5x s 30
33. &r - 11 s 3x – 13
34. 18r + 45 s 12x - 8
35. 4(x + 1) + 2 2 3x + 6
36. &r + 3 > 3(2x + 1) + x + 5
37. 2x – 11 < -3(x + 2)
38. -4(x + 2) > 3x + 20
40. 5(3 - x) s 3x – 1
39. 1
(x + 3) 2 4 - 2x
3
3x
1
41.
4
+ 1
2
42.
+ 12
10
5
10
3
43. 1
> 4
4
44. 7
2
5
45.
5
4x - 3
46.
2r - 1
+ 2 2
9
18
6.
12
47. 3[3(x + 5) + &x + 7] + 5[3(x – 6) – 2(3x – 5)]
< 2(4x + 3)
48. 5[3(2 – 3x) – 2(5 – x)] – 6[5(x – 2) – 2(4x – 3)]
< 3x + 19
V
2.
VI
Transcribed Image Text:In Exercises 27–48, solve each linear inequality. 27. 5x + 11 < 26 28. 2x + 5 < 17 29. 3x - 7 2 13 30. &r - 2 2 14 31. -9x 2 36 32. -5x s 30 33. &r - 11 s 3x – 13 34. 18r + 45 s 12x - 8 35. 4(x + 1) + 2 2 3x + 6 36. &r + 3 > 3(2x + 1) + x + 5 37. 2x – 11 < -3(x + 2) 38. -4(x + 2) > 3x + 20 40. 5(3 - x) s 3x – 1 39. 1 (x + 3) 2 4 - 2x 3 3x 1 41. 4 + 1 2 42. + 12 10 5 10 3 43. 1 > 4 4 44. 7 2 5 45. 5 4x - 3 46. 2r - 1 + 2 2 9 18 6. 12 47. 3[3(x + 5) + &x + 7] + 5[3(x – 6) – 2(3x – 5)] < 2(4x + 3) 48. 5[3(2 – 3x) – 2(5 – x)] – 6[5(x – 2) – 2(4x – 3)] < 3x + 19 V 2. VI
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