Linear Inequalities in Two Variables
Explore how to represent linear inequalities on the coordinate plane. Identify boundary lines and shaded solution regions.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
Given the inequality , what is the equation of the boundary line? Would you draw it solid or dashed?
Task 3
Given the inequality , write the coordinates of a testing point that is a solution of the inequality, and the coordinates of a testing point that is not a solution.
Task 4
Can a linear inequality in two variables have no solution? Explain your conjectures.