Oct 09, 2009 · Title: Solving Absolute Value Equations and Inequalities Author: Sofia Last modified by: Sofia Created Date: 10/6/2009 12:43:00 AM Other titles: Solving Absolute Value Equations and Inequalities
Section 1.3: Absolute Value Equations and Inequalities. Big Idea: Absolute values can be thought of as stating the distance from a point. When combined with inequalities, they result in compound inequalities. Big Skill: You should be able to solve absolute value equations and inequalities using the Property of Absolute Value Equations.
Absolute Value Equations & Inequalities. Since absolute value represents distance, it can never be negative. When solving for |a| = b, 2 solutions a = b and a = -b. When solving for |a| < b, solving for –b < a < b. When solving for |a| > b, solving for a < -b or a > b. Example: Solving Absolute Value Equations. Solve the following equations.
Absolute Value Inequalities. Solving absolute value inequalities combine the strategies you used in: 1) Solving and Graphing Compound Inequalities 2) Solving Absolute Value Equations. Every absolute value inequality is a compound inequality. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated.
Writing inequalities is done the same way, but instead of an equal sign you have an inequality. For example, A bed must be . within. 1 feet of 9 feet. Write an absolute value inequality below that. represents all possible lengths of a box. If it ever says within, vary, or . between. two numbers, your inequality sign will always say the absolute ...
Write and solve absolute value equations and inequalities in connection with the definition in real world and mathematical contexts; identify extraneous solutions; write and graph solutions as compound inequality statements in both interval and inequality notation. Include connections to solving linear equations.
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