1.8 Solving Compound Inequalities and Absolute Value inequalities

1
1.8 Solving Compound Inequalities and Absolute
Value inequalities

• Algebra 2
• Mrs. Spitz
• Fall 2006

2
Objectives

• Solve compound sentences using and and or,
  and
• Solve an inequality involving absolute value and
  graph its solution.

3
Assignment

• pp. 44-45 1540
• Chapter 1 Review pp. 46-48 1-30 all.
• Chapter Test Wednesday

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Solving Absolute Value Inequalities

• axb lt c, where cgt0
• Becomes an and problem
• Changes to cltaxbltc
• axb gt c, where cgt0
• Becomes an or problem
• Changes to axbgtc or axblt-c

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Ex 1 Solve graph.

• Becomes an and problem

-3 7 8
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Ex. 2 Solve graph.

• Get absolute value by itself first.
• Becomes an or problem

-2 3 4
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Ex 3 Solve graph.

• Becomes an and problem

Solution Set x-6 lt x lt 6
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Ex. 4 Solve graph.

• Get absolute value by itself first.
• Becomes an or problem

-2 9 10
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Solution Set

• Solution set for the previous problem
• xx-2 or x9

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Reminders

• You have a Chapter 1 Review due Wednesday.
• Test 1 on Wednesday
• Binder Check Wednesday
• All notes must be completed by that time.
• All assignments must be completed by that time.
• 10 off per day it is late.