6: Absolute Value
- Page ID
- 45190
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- 6.1: Evaluating Expressions
- The absolute value of a real number a, written |a|, is the distance from a to 0 on a number line. For example, To find |−4|, ask: “what is the distance from −4 to 0?”. Draw a number line and see that |−4| = 4. Similarly, |4| = 4.
- 6.2: Solving Absolute Value Equations
- To solve absolute value equations, first consider the following two properties of Absolute Value. It is important to check the solutions by substituting them back into the original equation. Finally, the solution set of an absolute value equation is typically graphed as points on a number line.
- 6.3: Solving Absolute Value Inequalities and Writing Answers in Interval Notation
- The previous section taught how to solve absolute value equations. This section teaches how to solve absolute value inequalities. To do so, first consider the two properties of absolute value inequalities.
Thumbnail: The graph of the absolute value function for real numbers. (CC BY-SA 3.0; Qef and Ævar Arnfjörð Bjarmason via Wikipedia).