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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.