Algebra · Absolute value · Piecewise linear functions · Graphs · Parameters
Determine all values of the real parameter \(a\) for which the equation
\[ \Bigl|\bigl||x-1|-2\bigr|-3\Bigr| = a \]
has the greatest possible number of solutions.
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Serbian Municipal Competition 2008, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source