A Movable Absolute Bound

★ 7/10functions Extrema Absolute Value inequality Casework

Problem

Suppose there exists $a \in \mathbb{R}$ such that the inequality

x|x - a| < m

holds for all $x \in [0, 1]$ . Find the range of possible values of the real number $m$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Extrema, Absolute Value, inequality, Casework

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