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Solving Linear Inequalities
linear inequality: _________________________________ ________________________________________________ solution of a linear inequality: ______________________
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Determine whether the ordered pair is a solution of the inequality. 1
Determine whether the ordered pair is a solution of the inequality. 1. (–2, 4); y < 2x (3, 1); y > x – 4
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Determine whether the ordered pair is a solution of the inequality. 3
Determine whether the ordered pair is a solution of the inequality. 3. (4, 5); y < x (1, 1); y > x – 7
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Because there are an infinite number of solutions to a linear inequality, we need to graph the linear inequality to show all of the solutions.
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GRAPHING LINEAR INEQUALITIES Step 1 Example: y 2x – 3 Step 2 Step 3
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Graph the solutions to the given linear inequalities. 5
Graph the solutions to the given linear inequalities. 5. 5x + 2y > –8 6. 4x – y + 2 ≤ 0
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Graph the solutions to the given linear inequalities. 7
Graph the solutions to the given linear inequalities. 7. 4x – 3y > 12 8.
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Write a linear inequality to represent the given graph. 9. 10.
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Write a linear inequality to represent the given graph. 11. 12.
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In Class Review Workbook page 92 #s 1-9, 19-20
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Warm Up Workbook page 92 #s 10-15
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Solving Systems of Linear Inequalities
system of linear inequalities: ___________________________ ____________________________________________________ solutions of a system of linear inequalities: _______________
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Determine whether the ordered pair is a solution to the given system of linear inequalities. 1. (-1, -3); 2. (-1, 5);
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To show all the solutions of a system of linear inequalities… ____________________________________________________ The solutions of a system are represented by ________________
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Graph the system of linear inequalities
Graph the system of linear inequalities. Give two ordered pairs that are solutions. Give two ordered pairs that are not solutions. 3. Two solutions: __________________ Two non-solutions: ______________
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Graph the system of linear inequalities
Graph the system of linear inequalities. Give two ordered pairs that are solutions. Give two ordered pairs that are not solutions. 4. Two solutions: __________________ Two non-solutions: ______________
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Graph the system of linear inequalities
Graph the system of linear inequalities. Give two ordered pairs that are solutions. Give two ordered pairs that are not solutions. 5. Two solutions: __________________ Two non-solutions: ______________
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Graph the system of linear inequalities
Graph the system of linear inequalities. Give two ordered pairs that are solutions. Give two ordered pairs that are not solutions. 6. Two solutions: __________________ Two non-solutions: ______________
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Graph the system of linear inequalities. Describe the solutions. 7.
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Graph the system of linear inequalities. Describe the solutions 8.
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Graph the system of linear inequalities. Describe the solutions 9.
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http://www. superteachertools
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Have out the homework from yesterday
Quiz Warm Up Workbook Page 94 #s 1-9 all Have out the homework from yesterday
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