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Solve Systems of Linear Inequalities

Solve Systems of Linear Inequalities. February 10, 2014 Pages 466-468. 7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES Students will be able to:. Graph and solve linear inequalities in two variables. Graph the system of inequalities. y > – x – 2. Inequality 1. y < 3 x + 6.

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Solve Systems of Linear Inequalities

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  1. Solve Systems of Linear Inequalities February 10, 2014 Pages 466-468

  2. 7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIESStudents will be able to: Graph and solve linear inequalities in two variables.

  3. Graph the system of inequalities. y > – x – 2 Inequality 1 y < 3x + 6 Inequality 2 Graph both inequalities in the same coordinate plane. The graph of the system is the intersection of the two half-planes, which is shown as the darker shade of blue. SOLUTION

  4. ? ? 1 > 0 – 2 1≤0 + 6 1 > – 2 1≤ 6 Choose a point in the dark blue region, such as (0, 1). To check this solution, substitute 0 for xand 1 for yinto each inequality. CHECK

  5. Graph the system of inequalities. y > – 1 Inequality 1 x > -2 Inequality 2 x + 2y < 4 Inequality 3 SOLUTION Graph all three inequalities in the same coordinate plane. The graph of the system is the triangular region shown.

  6. Graph the system of linear inequalities. 3. y < x – 4 y > – x + 3 ANSWER

  7. Graph the system of linear inequalities. 4. y > – x + 2 y < 4 x < 3 ANSWER

  8. Graph the system of linear inequalities. 5. y > – x y > x – 4 y < 5 ANSWER

  9. HOMEWORK WORKSHEET

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