Method for Proving Symmetric Inequalities with Three Variables Defined on the Set of Real Numbers

This section will consider one method that is similar to the previous method of Chap. 14, for proving symmetrical inequalities with three variables that will be solvable only by elementary transformations and without major knowledge of inequalities (in the sense that for some of them the student has no need to know the powerful Cauchy–Schwarz, Chebishev, Minkowski and Holder inequalities).