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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

4. Linear Programming

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Exercise 3 Page 160

Graph each inequality separately. The overlapping region will be the solution of the system.

Practice makes perfect

To solve the given system by graphing, we will first graph each inequality separately, then combine the graphs. The overlapping region will be the solution of the system.

⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ x + 2 y \leq 10 x \geq 1 y \geq 2 (I) (II) (III)

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Inequality I

To graph an inequality, we first determine its boundary line. By changing the inequality symbol to an equals sign, the boundary line can be determined.

Inequality : Boundary Line : x + 2 y \leq 10 x + 2 y = 10

Since the boundary line is not in slope-intercept form, we will rewrite it in slope-intercept form.

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Subchapter links

Lesson Check p.160

Practice and Problem-Solving Exercises p.160-162

Standardized Test Prep p.162

Mixed Review p.162