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Algebra 2 – 2.6

Algebra 2 – 2.6. LINEAR INEQUALITIES IN 2 VARIABLES. 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

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Algebra 2 – 2.6

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  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 GRAPH LIST OF SOLUTIONS

  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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