Chapter 11: Coordinate Graphing 145
Graphs of Inequalities
The graph of an equation is a picture of all the pairs of numbers that solve the equation, so the
graph of an inequality should be the picture of all the pairs of numbers that make the inequality
true. That may (or may not) include points on a line, but it will include a lot of other points,
either above or below the line.
To graph an inequality like yx^3
4
< 2 , begin by graphing the line y^3 x
4
2. If the inequality
sign is u or e , you would use a solid line, but here, for > or <, use a dotted line.
-6 -2 062
-2
2
4
6
-4
-6
-8-9 -7 -5 -4 -1-3 134 5 78 9
-8
-9
-1
-3
-5
-7
8
9
1
3
5
7
-10 10
-10
10
y
x