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Unformatted text preview: the variable. You can apply the definition to split an absolute value expression into two parts that are easier to handle. You should know how to use the definition to replace the absolute value of an expression in order to solve equations and inequalities. Replacing the absolute value results in two equations or inequalities, each with different domains. These are solved in the ways you have learned. ***The solution set of an absolute value equation usually contains two numbers. The solution set of an absolute value inequality usually consists of two inequalities connected with "or" if the solutions do not overlap and connected with "and" if they do overlap. or or and It is possible for the solution set to be the empty set or to contain all real numbers. No solution Solution set: all real numbers...
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 Spring '08
 Berkeley
 Negative and nonnegative numbers

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