3.4 Graphing Linear Inequalities

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3.4 Graphing Linear Inequalities
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• To graph a linear inequality, treat the
  inequality as if it were an equal sign and graph
  the line.
• If the inequality is or , draw the line .
• If the inequality is or , draw the line .

lt
gt
dashed
solid
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Where to Shade?

• To determine where to shade, test a point! Choose
  a point on either side of the line and substitute
  it into the inequality. If it makes the statement
  true, shade on that side of the line. If it makes
  the statement false, shade on the other side of
  the line.
• Hint Try (0,0) if you can!

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Example

• a.

Notice that the line is dashed, why? Test the
point (0,0). Does this confirm that the graph is
shaded correctly?
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Example

• b.

Notice that the line is solid, why? Test the
point (0,0). Does this confirm that the graph is
shaded correctly?
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Graph the inequality.

• 1.

7
Graph the inequality.

• 2.

8
Graph the inequality.

• 3.

9
Graph the inequality.

• 4.

10
Graph the inequality.

• 5.

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Graph the inequality.

• 6.