1. of Linear Inequalities
Solving Systems
Section 3.3
©2012,
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3.3 – Solving Systems of Linear Inequalities

2. 3.3 – Solving Systems of Linear Inequalities
Recall
>
>
Greater than
Greater than OR equal to
<
<
Less than
Less than OR equal to
Dotted Line
Solid Line
Solution: An ordered pair
Vertex: Point of where the lines meet
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3.3 – Solving Systems of Linear Inequalities

3. 3.3 – Solving Systems of Linear Inequalities
Example 1
Graph
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3.3 – Solving Systems of Linear Inequalities

4. 3.3 – Solving Systems of Linear Inequalities
Steps in Graphing
shade u
Greater Than
>
>
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3.3 – Solving Systems of Linear Inequalities

5. 3.3 – Solving Systems of Linear Inequalities
Steps in Graphing
shade
own
<
Less Than
<
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3.3 – Solving Systems of Linear Inequalities

6. 3.3 – Solving Systems of Linear Inequalities
Example 2
Graph and find the vertex
Vertex:
(3, –2)
Vertex:
(3, –2)
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3.3 – Solving Systems of Linear Inequalities

7. 3.3 – Solving Systems of Linear Inequalities
Example 3
Graph and find the vertices
Vertex:
(3, 4)
Vertices:
(3, 4)
(–3, –2)
(3, –2)
Vertex:
(–3, –2)
Vertex:
(3, –2)
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3.3 – Solving Systems of Linear Inequalities

8. 3.3 – Solving Systems of Linear Inequalities
Your Turn
Graph and find the vertices
Vertices:
(2, 2)
(–2, –2)
(6, –2)
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3.3 – Solving Systems of Linear Inequalities

9. Calculator Only works on slope-intercept equations
Graph and find the vertices
Vertices:
(2, 2)
(–2, –2)
(6, –2)
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3.3 – Solving Systems of Linear Inequalities

10. 3.3 – Solving Systems of Linear Inequalities
Example 4
Graph and find the vertices
No Solution
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3.3 – Solving Systems of Linear Inequalities

11. 3.3 – Solving Systems of Linear Inequalities
Example 5
Graph and find the vertices
Vertices:
(–1, 3)
(–4, 0)
(–7, 3)
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3.3 – Solving Systems of Linear Inequalities

12. 3.3 – Solving Systems of Linear Inequalities
Your Turn
Graph and find the vertices
Vertices:
(–2, 0)
(0, –2)
(–4, –2)
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3.3 – Solving Systems of Linear Inequalities

13. 3.3 – Solving Systems of Linear Inequalities
Your Turn
Page 171
5-25 EOO, 29
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3.3 – Solving Systems of Linear Inequalities