6.6 Linear Inequalities

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6.6 Linear Inequalities

• TSWBAT sketch the region defined by linear
  inequality

Chapter 6 Algebra 1 Ms. Mayer
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Overview

• Graphing Linear Inequalities
• solid line or dotted line
• which side to shade
• Writing Inequalities from a graph

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Graphing Linear Inequalities in Two Variables

• How would you graph the equation x y 3?

x y 3 -x -x y -x 3 m -1 b 3
What happens if the changes to or ?
We get shading!!!
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Solid or dashed?

• The lines can be graphed as a solid line or a
  dashed (dotted) line. When do you think its
  solid, and when is it dashed? Think about
  graphing points on a number line when is it open
  and when is it closed?
• lt or gt is
• or is

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Graphing linear inequalities with two variables
Less than Greater than Less than or equal to Greater than or equal to


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Graphing linear inequalities with two variables

• Top row

Less than ? Greater than ? Less than or equal to Greater than or equal to
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Graphing linear inequalities with two variables

• Middle row

POSITIVE SLOPE
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Graphing linear inequalities with two variables

• Bottom row

NEGATIVE SLOPE
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Graphing Linear Inequalities

• Steps
• 1. Graph the equation (solve for y)
• 2. Draw a Dotted or Solid line
• 3. Pick a point not on a line (any point)
• 4. Shade the correct side
• True shade the same side
• False shade the opposite side

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Writing an Inequality

• Write an inequality for each graph.
• 5. 6.

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Writing an Inequality

• Write an inequality for each graph.
• 7. 8.

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Homework

• Graphing Inequalities
• Solid line/Dotted line
• Shading
• HW
• 6.6 worksheet