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Solving Linear Inequalities

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Presentation on theme: "Solving Linear Inequalities"— Presentation transcript:

1 Solving Linear Inequalities
linear inequality: _________________________________ ________________________________________________ solution of a linear inequality: ______________________

2 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

3 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

4 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.

5

6 GRAPHING LINEAR INEQUALITIES Step 1 Example: y  2x – 3 Step 2 Step 3

7 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

8 Graph the solutions to the given linear inequalities. 7
Graph the solutions to the given linear inequalities. 7. 4x – 3y > 12 8.

9 Write a linear inequality to represent the given graph. 9. 10.

10 Write a linear inequality to represent the given graph. 11. 12.

11 In Class Review Workbook page 92 #s 1-9, 19-20

12 Warm Up Workbook page 92 #s 10-15

13 Solving Systems of Linear Inequalities
system of linear inequalities: ___________________________ ____________________________________________________ solutions of a system of linear inequalities: _______________

14 Determine whether the ordered pair is a solution to the given system of linear inequalities. 1. (-1, -3); 2. (-1, 5);

15 To show all the solutions of a system of linear inequalities… ____________________________________________________ The solutions of a system are represented by ________________

16 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: ______________

17 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: ______________

18 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: ______________

19 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: ______________

20 Graph the system of linear inequalities. Describe the solutions. 7.

21 Graph the system of linear inequalities. Describe the solutions 8.

22 Graph the system of linear inequalities. Describe the solutions 9.

23 http://www. superteachertools

24 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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