Solving Absolute Value Inequalities

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Solving Absolute Value Inequalities

• T. Hammond
• December 1, 2005
• 2nd Period

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Notes

• The inequality axbltc, where cgt0, means that
  axb is between c and c. This is equivalent to
  cltaxbltc.
• The inequality axbgtc, where cgt0, means that
  axb is beyond c and c. This is equivalent to
  axblt-c or axbgtc.
• Either inequality can be replaced with a (in
  the first) or a (in the second)

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Example 1

• x1lt8
• -9gtxgt7 -9ltxlt7
• -9ltxgt7 -9gtxlt7

A
C
B
D
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Example 2

• 16-x10
• x6 or x26 x6 or x26
• 6ltx26 x26 or xgt6

A
C
B
D
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Example 3

• x-8lt5
• 3gtxgt13 xgt13 or xgt3
• 3ltxlt13 xlt3 or xgt13

C
A
B
D
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Example 4

• y23
• 5lty1 y5 or y1
• y-5 or y1 -5ltygt1

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Example 5

• x-3gt7
• xgt-4 or xlt10 xlt4 or xgt-10
• -4ltxlt10 xlt-4 or xgt10

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Example 6

• x6lt4
• -10ltxlt-2 xlt10 or xgt-2
• -10gtxgt-2 xgt-10 or xlt2

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Success Slide

• HOOOORAY,
• YOU HAVE DONE IT!!!
• Congratulations

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Resource Slide

• All Information Presented in this PowerPoint
• was Stimulated by my Mind as well as the
• McDougal Littell Algebra II Textbook

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THAT'S ALL
FOLKS
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• MERRY CHRISTMAS
• HAPPY NEW YEAR