Absolute Value Equations & Inequalities Equations |ax + b| = c If c > 0: ax + b = c OR ax + b = -c (two solutions) If c = 0: ax + b = 0 (one solution) If c < 0: no solution Inequalities |x| < c → -c < x < c (AND / between) |x| > c → x < -c OR x > c (OR / outside) ACT Tips Always check solutions in the original equation Graph on a number line for clarity Remember: absolute value is always ≥ 0