An Absolute-Value Domination

★ 6/10functions Substitution Absolute Value AM-GM inequality

Problem

The inequality

ax^2 - |x + 1| + 3a \geqslant 0

holds for all real $x$ . Find the range of possible values of $a$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Substitution, Absolute Value, AM-GM, inequality

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