homework review. solve absolute value inequalities 5.5

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HOMEWORK REVIEW

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Page 1: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

HOMEWORK REVIEW

Page 2: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

HOMEWORK REVIEW

Page 3: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

HOMEWORK REVIEW

Page 4: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

SOLVE ABSOLUTE VALUE INEQUALITIES5.5

Page 5: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

ABSOLUTE VALUE

• Absolute Value is the distance a number is from 0 on the number line.• You can see from the diagram that |4|=4 and that the |-4|=4

Page 6: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

ABSOLUTE VALUE

• Try these

• |5|=• |-11|=• |-2|=• |6|=• |-7|=

Page 7: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

NOW TRY THESE

• |what|=2

• |what|=7

• |what|=4

Page 8: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

SOLVING ABSOLUTE VALUE• The key to solving absolute value problems is that you need to understand that what I s inside the absolute value can be positive or negative.• Get the | | by itself

• Rewrite it as two equations, one with positive value and one with the negative value

• Solve each equation. There will likely be two solutions.

Page 9: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

EXAMPLE

• Solve: |x|=7

Page 10: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

EXAMPLE

• Solve: |x – 3|= 8

Page 11: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

EXAMPLE

• Solve: 3|2x – 7|-- 5 = 4

Page 12: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

EXAMPLE

• Solve: |3x + 5| + 6 = 2

Page 13: HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5

HOMEWORK

• p. 335: 3, 9, 11, 15-21 odd, 22, 23, 26, 27, 31-35 odd