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Section 3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables 281 50. and 51. or 52. or x 6 3 y 7 4 x 2 y 0 x 0 y 3 5 4 21 y 1 7 6 5 4 2 1 y 1 53. and 54. and 55. or 2 1 y 1 x 7 0 x y 6 6 x 6 0 x y 6 2 y 0 x y 4 5 4 y 543 1 2 3 4 5 21 5 4 21 y 1 7 6 5 4 2 1 y 1 Concept 3: Graphing a Feasible Region For Exercises 56–59, graph the feasible regions. 56. and 57. and 58. 59. 1 2 3 4 5 x y 3 x y 2 x 0, y 0 x 0, y 0 x 0, y 0 x 0, y 0 x y 8 x y 5 and and 8 7 6 5 4 21 y 1 5 4 2 1 y 1 5 4 21 y 1 60. Suppose Sue has 50 ft of fencing with which she can build a rectangular dog run. Let x represent the length of the dog run and let y represent the width. a. Write an inequality representing the fact that the total perimeter of the dog run is at most 50 ft. b. Sketch part of the solution set for this inequality that represents all possible values for the length and width of the dog run. (Hint: Note that both the length and the width must be positive.) y x 5 4 3 2 1 321 1 2 3 4 5 6 7 1 2 3 4 5 1 2 3 4 5 6 7 8 2 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 3x 5y 30 x 2y 6 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 3 1 2 3 4 5 6 7 2 3 x 3 2 1 76 543 1 2 3 2 3 4 5 6 7 x 3 2 1 54 3 1 2 3 4 5 2 3 4 5 x 3 2 1 3 1 2 3 4 5 6 7 2 3 x 3 2 1 x y 25 0 5 10 15 20 25 20 15 10 5 Width Length


miller_intermediate_algebra_4e_ch1_3
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