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Graph System of Inequalities




 

Videos and lessons to help High School students learn how to graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.


Suggested Learning Targets


  • Graph the solutions to a linear inequality in two variables as a half-plane, excluding the boundary for non-inclusive inequalities.
  • Graph the solution set to a system of linear inequalities in two variables as the intersection of their corresponding half-planes.
Common Core: HSA-REI.D.12


Related Topics:
Common Core (Algebra)

Common Core for Mathematics


Linear Inequalities in Two Variables

Linear Inequalities in Two Variables.


Ex 1: Graphing Linear Inequalities in Two Variables (Slope Intercept Form)
This video explains how to graph a linear inequality in slope intercept form.





Ex 2: Graphing Linear Inequalities in Two Variables (Standard Form)
This video explains how to graph a linear inequality in standard form.


Ex: Linear Inequality in Two Variables Application Problem (Phone Cost: Day and Night Minutes) System of Linear Inequalities
This video explains an application problem involving a linear inequality in two variables. It deals with the total cost of day and night minutes when the per minute rate is different.



 

System of Linear Inequalities

System of Linear Inequalities.


Ex 1: Graph a System of Linear Inequalities
This video provides an example of how to graph the solution to a system of linear inequalities. The linear inequalities are in slope-intercept form.




Ex 2: Graph a System of Linear Inequalities
This video provides an example of how to graph the solution to a system of linear inequalities. The linear inequalities are in slope-intercept form.


Ex 3: Graph the Feasible Region of a System of Linear Inequalities
This video provides an example of how to graph the feasible region to a system of linear inequalities. The system contains 4 inequalities.



 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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