Rewrite Absolute Value Equations as Linear Equations
Part of the Algebra II Workbook For Dummies Cheat Sheet
To work with an absolute value equation in algebra, you first need to rewrite it as a linear equation. The same goes for an absolute value inequality, which you rewrite as a linear inequality.
When rewriting absolute value equations or inequalities, you drop the absolute value bars.
|ax + b| = c → ax + b = c or ax + b = –c
|ax + b| > c → ax + b > c or ax + b > –c
|ax + b| < c → –c < ax + b < c