Warm-up: Graph the linear inequalities.

Questions over hw?

Foundations of Algebra UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: How do I find the solutions to a system of linear inequalities graphically? Standard: MCC9-12.A.REI.12

Solving Systems of Linear Inequalities in two variables Coordinate Plane

System of Inequalities Two or more inequalities in the same variables that work together

Solution to a System of Linear Inequalities The intersection of the half planes of the inequalities. Look for the area where the shading overlaps. This is the solution.

Steps for Graphing Inequalities Graph the LINES and appropriate SHADING for each inequality on the same coordinate plane. Remember: DASHED for < and >, and SOLID for < and >. The solution is the section where all the shadings OVERLAP. Sometimes it helps to use different color pencils for each line and shaded region. It makes it easier to determine the overlapped shaded regions.

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Homework Worksheet