ࡱ> 9;8^[ bjbj  _pa!\pa!\ &&\\ -j$k k k ,,,,,,,$.n1,k k k k ,S,!!!k ,!k ,!!rs+TO,S "+w,,0 -+z2 2O,2O,(!k k k ,,!k k k -k k k k 2k k k k k k k k k &> d:  Name___________________ Date_________________ Period________ Solving Systems of Inequalities Guided Notes Standard and SkillsA.REI.12 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. SWBAT graph a linear inequality on a coordinate plane SWBAT graph a systems of linear inequalities and find a solution  Part I: Graphing Inequalities Graphing Linear Inequalities Step 1: Graph the ___________________, which is the equation of the line. Step 2: By looking at our ________________________, determine how to draw the line. > or < will give us a _____________________ line.  EMBED Equation.3  or  EMBED Equation.3  will give us a _________________ line. Step 3: Determine which side of the boundary to __________________ in order to represent our__________________________________.  Example 1: Graph the inequality. y > -3x + 2. Name two possible solutions for the system. Guided Practice Graph and shade the following inequalities. Name 2 possible solutions for each system. 1.  EMBED Equation.3  2.  EMBED Equation.3   3.  EMBED Equation.3  4.  EMBED Equation.3  (Put in y = mx+b form)  Got it? ____________________________________ Part II: Solving Systems of Inequalities We have learned that the solution of a linear system of equations occurs where the two lines _______________________________. Likewise, the solution of system of linear inequalities occurs where the two regions _________________________. Any ordered pair that lies in the _______________________________ is a solution. 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