Linear Inequalities in Two Variables

Linear Inequalities in Two Variables

Explore how to represent linear inequalities on the coordinate plane. Identify boundary lines and shaded solution regions.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

Given the inequality , what is the equation of the boundary line? Would you draw it solid or dashed? 

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Open-ended question 2

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.

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Open-ended question 3

Can a linear inequality in two variables have no solution? Explain your conjectures.

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