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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

6. Systems of Linear Inequalities

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Exercise 15 Page 403

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

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.

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

{y \leq - \frac{1}{3} x + 7 y \geq - x + 1 (I) (II)

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

Boundary Lines

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

Subchapter links

Lesson Check p.402

Practice and Problem-Solving Exercises p.403-405

Standardized Test Prep p.405

Mixed Review p.405