Algebra 1 · Inequalities
Absolute Value Inequality
Algebra 1 · Inequalities
Definition
An absolute value inequality is an inequality with an absolute value that becomes a compound (AND/OR) inequality.
Examples
- |x| < 3 becomes -3 < x < 3.
- |x| > 4 becomes x < -4 or x > 4.
Key rule
Less-than makes an AND; greater-than makes an OR.
Memory hook
Less-thAND, greatOR - the < joins, the > splits.