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miller_intermediate_algebra_4e_ch1_3

312 Chapter 3 Systems of Linear Equations and Inequalities 35. 36. x 7 3 x 2 5 4 21 y 1 1 2 37. 38. 21 x 6 5 4 y 1 5 4 2 1 1 5 4 2 1 1 For Exercises 39–42, graph the system of inequalities. 39. and 2x y 7 2 2x y 2 5 4 2 1 1 40. 3x y 6 or 3x y 6 6 2 5 x y y 41. or y x y x 5 4 2 1 1 x 0, y 0, x 4 42. and y 2 3 6 5 4 3 2 1 1 43. Suppose a farmer has 100 acres of land on which to grow oranges and grapefruit. Furthermore, because of demand from his customers, he wants to plant at least 4 times as many acres of orange trees as grapefruit trees. Let x represent the number of acres of orange trees. Let y represent the number of acres of grapefruit trees. a. Write two inequalities that express the fact that the farmer cannot use a negative number of acres to plant orange and grapefruit trees. b. Write an inequality that expresses the fact that the total number of acres used for growing orange and grapefruit trees is at most 100. c. Write an inequality that expresses the fact that the farmer wants to plant at least 4 times as many orange trees as grapefruit trees. 543 1 2 3 4 5 2 3 4 5 x 3 2 1 54 3 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 y x 3 2 1 543 1 2 3 4 5 2 3 4 5 y x 3 2 1 321 1 2 3 4 5 6 7 2 3 4 y x 543 1 2 3 4 5 2 3 4 5 y x 3 2 1 543 1 2 3 4 5 2 3 4 5 y x 3 2 1 5 4 543 2 1 1 2 3 4 5 1 2 3 4 5 y x 3 2 1


miller_intermediate_algebra_4e_ch1_3
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