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