Two cases: 2x-3=7 → x=5 or 2x-3=-7 → x=-2. Absolute value equations always yield two cases. This concept appears in both equation and inequa...
Two cases: 2x-3=7 → x=5 or 2x-3=-7 → x=-2. Absolute value equations always yield two cases. This concept appears in both equation and inequality forms in competitive exams. Always solve both cases and verify each solution satisfies the original equation to avoid extraneous solutions.