An Interval Inside the Solution Set

★ 6/10functions Absolute Value algebra inequality Casework

Problem

Let $P$ be the solution set of the inequality

x|x - a| < 1.

If $(0, 1] \subseteq P$ , find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Absolute Value, algebra, inequality, Casework

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