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Published byRussell Dixon Modified over 8 years ago

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Lesson 11-8 Graphing Linear Inequalities pp. 548-551 EQ: How do you solve systems of linear equations by graphing?

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Vocabulary to look for in this lesson: Boundary Half plane EQ: How do you solve systems of linear equations by graphing?

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To graph an inequality such as y<x+1, first graph the related equation y = x + 1. This is the boundary. – If the inequality contains the symbol ≤ or ≥, a solid line is used to show that the boundary is included in the graph. – If the inequality contains the symbol, a dashed line is used to indicate that the boundary is not included in the graph

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Next, test any point above or below the line to decide which region is the solution for y<x+1. – For example, it is easy to test (0,0)

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Since 0<1 is true, (0,0) is a solution of y<x+1. Shade the region that contains this solution. This region is called a half plane. All points in this region are solutions of the inequality.

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Example – Graph an Inequality

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The solution of an inequality includes negative numbers and fractions too. In real life situations, though, sometimes negative numbers and fractions have no meaning.

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Example – Graph an Inequality to Solve a Problem

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Class work: p. 550 # 3-7 all Homework: pp. 550 # 8-22 evens EQ: How do you solve systems of linear equations by graphing?

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