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Big Ideas Math Integrated I, 2016

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Big Ideas Math Integrated I, 2016 View details

7. Systems of Linear Inequalities

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Exercise 11 Page 260

Graph each inequality separately. The solution will be the intersection, or overlap, of the shaded regions.

See solution.

Practice makes perfect

Graphing a single inequality involves two main steps.

Plotting the boundary line.
Shading half of the plane to show the solution set.

Here, we need to do this process for each of the inequalities in the system.

{y > - 3 y \geq 5 x (I) (II)

The system's solution set will be the intersection of the shaded regions in the graphs of (I) and (II).

Boundary Lines

We can tell a lot of information about the boundary lines from the inequalities given in the system.

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Subchapter links

Communicate Your Answer p.255

Monitoring Progress p.256-259

Exercises p.260-262