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Absolute Value Equations
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Does a solution exist for the following Absolute Value Equation?
Absolute Value is the distance from zero. Absolute Value can NOT equal a negative number. Does a solution exist for the following Absolute Value Equation? Yes, there is a solution. The 3 tells us there is a solution. No, there is not a solution. The -5 tells us there is no solution.
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To solve Absolute Value Equations
1. Isolate the absolute value 2. Write two equations OR
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solve the Absolute Value Equations
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solve the Absolute Value Equations
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An absolute value can NOT equal a negative number!!!
Solve the Absolute Value Equations NO Solution An absolute value can NOT equal a negative number!!!
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OR NOW…you should CHECK!!
An extraneous solution is a solution of an equation derived from an original equation that is not a solution of the original equation You should ALWAYS check for extraneous solutions!! OR NOW…you should CHECK!!
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CHECK!! OR The only solution is x=1
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