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.
O Level Maths Notes: Sketching Inequalities and Finding The Region Satisfied By Inequalities (1)
The only real way to solve multiple inequalities of the
formetc
is to put all the inequalities on the same diagram and find the
region satisfying all the inequalities as a part of theplane.
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.
