Due: 29 August 2011 Math 1090-002 24 August 2011 Section 1.2 Homework Instructions: Complete the following problems in the space provided. Please show all of your work; I reserve the right to award no credit to a correct solution with no justification. You can earn up to 20 points on the assignment. Solve the following linear inequalities and graph the solutions on a real number line (4 points each): 17. 3 5 − z < 6. 5 24. x+4 5x + 3 −1≥ + 1. 8 6 1 32. 3 4t ≤ + 7 < 9. 2 3 54. Six more than two times a number is at least as much as four times that same number. What range of values does this number have? (4 points) 2 55. Maria has achieved scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each of these midterms counts as 15% of the total grade in the class and the final exam counts as 40% of the total grade, what must she get as a score (out of 100) on the final examination to get at least 85% as her total grade in the course? (4 points) 3