4.8

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4.8 Compound Inequalities

• Compound Inequality

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Definition Compound Inequality Two
inequalities that are joined by the word and or
the word or.
Notice! A solution of a compound inequality
joined by and is any number that makes both
inequalities true.
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Graphing or Inequalities
0
-3
-1
0
5
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Notice!! When Graphing an or Inequality We end
up with two separate graphs combined as one
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Graphing and Inequalities
3
0
-2
0
45
100
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Notice!! When Graphing an and inequality, we
end up with a Line Segment
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Remember these? Steps for Solving Compound
Inequalities
Simply use the 3 simple steps for equation
solving success on both inequalities!!
BEWARE!!! If you multiply or divide both sides
by a negative number, you must flip the
inequality sign.
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Your Turn!!

1. Solve and Graph on a number line

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• It is important to differentiate between open and
  closed dots on a number line because
  ____________________________________________
• ____________________________________________
• A solution to a compound inequality joined by and
  must do what to both inequalities?________________
  ____ ___________________________________________