Absolute equations and inequalities
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This document discusses how to solve equations and inequalities involving absolute value. It introduces absolute value and notes that absolute value equations can be solved using the property that the absolute value of a number is equal to its distance from zero. It also states that absolute value inequalities can be solved using properties related to the fact that absolute value never results in a negative value.
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Absolute equations and inequalities
- 1. ABSOLUTE VALUE EQUATIONS AND INEQUALITIES
- 2. Introduction • Recall that the absolute value of a number a is given by
- 3. ABSOLUTE VALUE EQUATIONS • We use the following property to solve equations that involve absolute value.
- 4. Solving an Absolute Value Equation
- 5. ABSOLUTE VALUE INEQUALITIES • We use the following properties to solve inequalities that involve absolute value.
- 6. Solving an Absolute Value inequality