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Algebra 2 9/22/14
Bellwork:
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2.8 – Graph Linear Inequalities in Two Variables
A linear inequality in two variables can be written in one of these forms:
Ax + By < CAx + By < CAx + By > CAx + By > C
An ordered pair (x, y) is a solution of a linear inequality in two variables if the inequality is true
when the values of x and y are substituted into the inequality.
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2.8 – Graph Linear Inequalities in Two Variables
Example 1:
Which ordered pair is a solution of 5x – 2y < 6?a. (0, -3)b. (5, 5)c. (1, -2)d. (3, 3)
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2.8 – Graph Linear Inequalities in Two Variables
Example 2: Tell whether the given ordered pair is a solution
of 5x – 2y < 6.
(0, -4) (2, 2) (-3, 8) (-1, -7)
![Page 5: Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:](https://reader031.vdocuments.us/reader031/viewer/2022012914/5a4d1b287f8b9ab059997e25/html5/thumbnails/5.jpg)
2.8 – Graph Linear Inequalities in Two Variables
The graph of a linear inequality in two variables is the set of all points in a coordinate plane
that represent the solutions of the inequality.
![Page 6: Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:](https://reader031.vdocuments.us/reader031/viewer/2022012914/5a4d1b287f8b9ab059997e25/html5/thumbnails/6.jpg)
2.8 – Graph Linear Inequalities in Two Variables
![Page 7: Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:](https://reader031.vdocuments.us/reader031/viewer/2022012914/5a4d1b287f8b9ab059997e25/html5/thumbnails/7.jpg)
2.8 – Graph Linear Inequalities in Two Variables
Example 3:
Graph the following graphs in a coordinate plane.
a. x < 2b. 5x – 2y < -4
Note: Boundary Lines for < or > are dashed lines. Boundary Lines for <= or >= are shown as solid.
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2.8 – Graph Linear Inequalities in Two Variables
Example 4:
Graph the following graphs in a coordinate plane.
y > 2x + 3
Note: Boundary Lines for < or > are dashed. Boundary Lines for <= or >= are shown as solid.
![Page 9: Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:](https://reader031.vdocuments.us/reader031/viewer/2022012914/5a4d1b287f8b9ab059997e25/html5/thumbnails/9.jpg)
2.8 – Graph Linear Inequalities in Two Variables
Example 5:
Graph y > -2|x – 3| + 4
Note: Boundary Lines for < or > are dashed. Boundary Lines for <= or >= are shown as solid.
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9/22/14 Algebra 2
Homework Due 9/23/14:• Pages 135 - 136• Exercises: 3 – 6 All, 8 – 18 Even, 22, 24