Linear Inequalities ALGEBRA 1 LESSON 7 -5 pages

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Linear Inequalities ALGEBRA 1 LESSON 7 -5 pages 373– 376 Exercises 1. no 14. 17. 15. 18. 11. 2. yes 3. yes 4. yes 12. 5. no 6. yes 7. A 8. B 13. 16. 9. B 10. A 7 -5 2 7 19. y x – ; < – 3 3

Linear Inequalities ALGEBRA 1 LESSON 7 -5 20. y x – 2; >5 – 3 23. a. 3 x + 5 y 48 < – b. 8 21. y x – ; < 2 – 3 3 c. Answers may vary. Sample: 8 blue and 4 gold, 2 blue and 8 gold, 12 blue and 2 gold d. No; you cannot buy – 2 rolls of paper. 22. y – x – 2; < 3 – 2 7 -5

Linear Inequalities ALGEBRA 1 LESSON 7 -5 24. a. 3 n + 10 c > 250 b. 25. 26. c. Answers may vary. Sample: 30 canvas and 10 nylon, 26 canvas and 20 nylon, 27. 35 canvas and 10 nylon d. Domain and range values must be positive integers, since you cannot buy portions of packs or a negative number of packs. 7 -5 28. 29. 30.

Linear Inequalities ALGEBRA 1 LESSON 7 -5 31. 34. y > 2 x – 1 35. x – 3 < – 36. y x – 2 < 1 – 3 32. 37. a. 12 x + 8 y 180 < – b. 33. For an inequality written in the form y < or y , shade below the < – boundary line. For an inequality > written in the form y > or y , – shade above the boundary line. c. Yes; you can buy 8 CDs and 9 tapes. d. 43 7 -5

Linear Inequalities ALGEBRA 1 LESSON 7 -5 38. x > 0; 39. y < 0; 41. x < y; < 45. a. 2 w + 2 50; – 42. It should be shaded above the line, and the line should be dashed. b. Answers may vary. 43. y < x + 2 Sample: 10 ft by 10 ft, 44. a. 5 ft by 5 ft 40. y 0; > – c. No; (12, 15) is not in the shaded region and is not a sol. of the inequality. b. c. 46. y < x – 3 y > x 47. y 2 x – 2 > – 5 12 7 -5

Linear Inequalities ALGEBRA 1 LESSON 7 -5 48. a. Answers may vary. Sample: 2 x + y > 3 49. a. yes b. yes c. Answers may vary. Sample: (2, 3) d. b. Answers may vary. Sample: 3 x + y < 1 c. If an inequality is in standard form, where A, B, and C are all positive, you shade above the line for > or and below the > – < line for < or . – d. yes 50. A 51. H 52. D 53. F 7 -5

Linear Inequalities ALGEBRA 1 LESSON 7 -5 54. [2] First, graph the solid line y = 3 x – 4. Then shade below the line. 59. 11 60. – 6 61. 8, 18 62. – 6. 7, – 2. 1 63. 12 64. 28 65. 11 [1] correct graph given, no explanation 66. 16 2 55. about 775 games 3 67. – 1 3 56. 0. 75 mi/h, 3. 25 mi/h 68. 4 57. 5 69. 13 58. 7 70. 6. 5 7 -5

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