A Scaling Domination

★ 7/10functions Absolute Value Monotonicity inequality

Problem

Let $f(x) = 2x|x|$ . If

f(x - m) - mf(x) < 0 \qquad \text{for all } x \geqslant 1,

find the range of possible values of the real number $m$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Absolute Value, Monotonicity, inequality

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