IOQM · Mathematics · Basic Preliminaries
Triangle inequality, simple AM-GM, two-variable inequality manipulations.
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Q1 · Basic Inequalities · MEDIUM
For positive real numbers x, y, z with x + y + z = 12, what is the maximum value of xyz?
Q2 · Basic Inequalities · EASY
For positive real numbers a and b, which inequality is always true?
Q3 · Basic Inequalities · HARD
For positive reals a, b, c with abc = 1, what is the minimum value of a³ + b³ + c³?