Sketching Inequalities and Finding the Region Satisfied By Inequalities
The only real way to solve multiple inequalities of the form
etc is to put all the inequalities on the same diagram and find the region satisfying all the inequalities as a part of the
plane.
Example: Find the region satisfying the three inequalities
Label this region with the letter
The line
is drawn. We want the region below the line so we shaded the region we do not want – above the line.
The line
is drawn. We want the region above the line so we shade the region we do not want – below the line.
The line
is drawn. We want the region below the line so we shade the region we do not want – above the line.
All the lines are solid because points on the line may satisfy the inequalities.
