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2Student,
This article discusses some interesting methods for solving inequalities. And there are some inequalities that will help with this. For example: Cauchy inequality, Cauchy-Schwarz inequality, Titu's Lemma, Holder's inequality, Chebyshev's inequality. Examples of inequalities are also consideredfor better understanding.
Cauchy Inequality, Cauchy-Schwarz Inequality, Titu's Lemma, Holder's Inequality, Chebyshev's Inequality