Graphs Of Linear Inequalities Worksheet With Answers Page 14
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21The solution set of the system is the intersection of the two shaded half-planes, shown in green
below, along with any points on the solid boundary of the intersection.
***
A system of linear inequalities can include more than two inequalities. The next example shows
the solution to a system with three inequalities. We can use similar methods to solve systems
with even more inequalities.
Example 10:
Graph the following system of linear inequalities.
2
x
+
3
y
<
9
x
≥
2
y
≥
0
Solution:
We first write the inequality 2
x
+
3
y
<
9
as an equation, 2
x
+
3
y
= . The line will be
9
graphed as a dashed line because the inequality in this problem is < , which does not include the
line. We will graph the line using x- and y-intercepts.
Math 1313
Page 14 of 21
Section 1.4
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