6.5

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6.5 Linear Inequalities.

• Inequalities (Review)

• Linear Inequality

• Solution of the Inequality

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Inequality Symbol Meaning

• Inequality Review

lt
Less than

Less than or equal to
gt
Greater than

Greater than or equal to
?
Not equal to
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Linear InequalityDefinition Describes a REGION
of the coordinate plane that has a boundary line.

PICTURE
REGION

• Boundary Line
• EACH POINT ON A DASHED BOUNDARY LINE IS NOT A
  SOLUTION

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Solution Of The InequalityDefinition Every
Point in the Region
REGION Every!!! POINT is a solution

• Boundary Line
• EACH POINT ON A SOLID BOUNDARY LINE IS A
  SOLUTION

PICTURE
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Example 1Graphing Inequalities

• Graph y lt -2x3

• Graph The Boundary
• Line y -2x3, FIRST

• Because lt,Use a
• DASHED
• Boundary Line

(4,0)
(0,0)
Take Test Points On Ether Side of the
Boundary Line To find the Region
REGION
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Example 2Graphing Inequalities

• Graph 2x - 5y lt 10

REGION
Test Points(0,0),(0,-4)
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YOUR TURN!

• GRAPH y lt 5x - 5

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YOUR TURN!
GRAPH 2x 3y lt 6
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Sentence Frames

• 1. Any Solution to an Inequality will
  lie____________ the shaded ________
• 2. (T,F) There may be more than one solution to
  a Linear Inequality because_______________________
  __________________________________