A Product Nonnegativity

★ 8/10Extrema calculus Monotonicity inequality Casework

Problem

The inequality

(ax - 1)(\ln x + ax) \geqslant 0

holds for all $x \in (0, +\infty)$ . Find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	8/10
Topics	Extrema, calculus, Monotonicity, inequality, Casework

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