Due: 21 September 2011
Math 1090-002
14 September 2011
Section 1.7 Homework
Instructions: Complete the following problems in the space provided. Please
show your work; write down enough so that a classmate could follow the steps
you’ve taken to arrive at the solution. You can earn up to 30 points on the
assignment.
Note: I’ve changed some of the inequality signs from the way they are written
in the textbook, so please be sure to do the problems the way they are written
here. (The solution regions will still have the same shape.)
Graph the solutions for the following inequalities (3 points each):
2.
y<
1
x − 2.
3
1
11.
9
9
−2x − y ≤ .
5
4
2
Graph the solution set of each of these systems of inequalities (6 points each):
(not from textbook)
x+3≥0
6≤y
y − 10 < 0
x<8
3
19.
y > −3
7y ≤ −6x + 21
y + 2x ≥ −2
3y + 20x > −30
4
26.
2x − 3y > −9
5x ≥ y − 16
9x + 8 < 7y
5
(not from textbook)
x+y <1
x≤y+1
x+y+1>0
1+x≥y
6