Graphs Of Linear Inequalities Worksheet With Answers Page 16
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Next, we will reverse the process. Suppose that we are given a solution set and are asked to write
the system of inequalities that generates that solution.
Example 11:
Write the system of inequalities that corresponds to the following graph.
Solution:
First, we need to find the equation of each line. We will use the slope and y-intercept,
and write each line in the form y mx b
+ .
=
By observing Line 1, we see that the y-intercept is 2, so
b = . To determine the slope of Line 1,
2
(
)
(
)
we can start at
0, 2 , move down 2 units and then to the left 6 units to get to the point
−
6, 0
.
rise
−
2
1
m
=
=
=
run
−
6
3
1
Hence, the equation for Line 1 is
y
=
x
+ .
2
3
Math 1313
Page 16 of 21
Section 1.4
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