Graphing
Two Variables
Example 2
Graph the solution to 2x - 3y < 6.
Step 1. Solve for y.
2x - 3y < 6
-3y < -2x + 6
*Note: The inequality sign is reversed in the last line.
Don't forget to reverse the inequality if multiplying or dividing by a negative!
Step 2. Change the inequality to an equation to find the boundary line and graph the line.
In this case, the inequality produces a dashed line at 
.
Step 3. Using the inequality, test a point on either side of the boundary to determine where to shade. Shade the appropriate side.
Test the point (0,0).
Since this is a true statement, (0, 0) satisfies the inequality.
Shade the side containing that point.
The points in the shaded region only are the solutions to the inequality.