Algebra 1 · Inequalities

Absolute Value Equation

Algebra 1 · Inequalities

Definition

An absolute value equation is an equation containing an absolute value that splits into two cases, positive and negative.

Examples

  • |x| = 5 means x = 5 or x = −5.
  • |x − 2| = 3 means x = 5 or x = −1.

Key rule

Split into two equations: the inside equals the positive and the negative value.

Memory hook

Absolute value opens two doors − plus and minus.