1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
1.6 Absolute Value Equations and Inequalities
An absolute value quantity is nonnegative. Since opposites have the same absolute value, an absolute value equation can have two solutions.
We write two linear equations to solve absolute value equations. Always check for extraneous (false) solutions.
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
Absolute Value Inequalities
You can write an absolute value inequality as a compound inequality without absolute value symbols. There are two types of absolute value inequalities.
­ c < ax+b < c
ax + b < ­ c or ax + b > c
≤ is the same as < ≥ is the same as >
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
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1.6 Solving Absolute Value Equations and Inequalities_1.notebook
September 15, 2011
HW p. 45; 1, 2, 3, 6, 11 ­ 23 odd
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