Algebra · Absolute value · Equations

Problem 4, 1996

CityOpen answer

Find all real numbers \(x\) for which

\[ \bigl|\,|x| - 1\,\bigr| + \bigl|\,|x| + 2\,\bigr| = 3. \]

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Serbian Municipal Competition 1996, high school grade I, problem 4. Organized by the Mathematical Society of Serbia (DMS).