Understanding Absolute Value Equations and Inequalities

Jan 06, 2026

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This section covers the concept of absolute value, explaining that the absolute value of a number represents its distance from zero on a number line. It highlights that absolute values cannot equal negative numbers, leading to scenarios with no solutions. The discussion includes strategies for solving equations and inequalities involving absolute value, focusing on both "or" and "and" problems. Key techniques include isolating the absolute value before solving. Homework assignments are provided for further practice in applying these concepts.

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Understanding Absolute Value Equations and Inequalities

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Section 5.3 “Solving Eq. And Ineq. w/ Absolute Value”
The absolute value of a number x, _______, is the ____________________________________. Distance from zero on the # line Ex. ____ & _____
NO SOLUTION An absolute value can never equal a negative number
These examples show that the number inside the absolute value bars can either be positive or negative. We will use this concept to solve equations containing absolute expressions.