1.8 Solving Compound Inequalities and Absolute Value inequalities - PowerPoint PPT Presentation

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1.8 Solving Compound Inequalities and Absolute Value inequalities

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Title: 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

4
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

5
Ex 1 Solve graph.
  • Becomes an and problem

-3 7 8
6
Ex. 2 Solve graph.
  • Get absolute value by itself first.
  • Becomes an or problem

-2 3 4
7
Ex 3 Solve graph.
  • Becomes an and problem

Solution Set x-6 lt x lt 6
8
Ex. 4 Solve graph.
  • Get absolute value by itself first.
  • Becomes an or problem

-2 9 10
9
Solution Set
  • Solution set for the previous problem
  • xx-2 or x9

10
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.
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