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Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES.

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Presentation on theme: "Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES."— Presentation transcript:

1 Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES

2 Linear Inequality An inequality that can be written in one of the following forms: y > mx + b y < mx + b y ≥ mx + b y ≤ mx + b In other words, it is the same thing as a linear equation, but with a sign of inequality instead of an equals sign BUT that sure makes for a big difference…

3 Solution A solution is a point, written as (x, y) that you could plug in and have a true statement of inequality y > 2x + 3 Name three solutions.

4 The three boxes ALGEBRA LIST OF SOLUTIONS GRAPH

5 To graph Graph the line just like always Solid or dashed line? Which side should you shade?

6 Real World Application Change our New York equations into inequalities

7 COMPREHENSION QUESTIONS You have a gift certificate for $30 to the local movie theater. Matinees are $8 and night shows cost $10. Write and graph an inequality that represents the number of shows you can attend. Give three possible combinations of shows that you could attend.


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