The book features selected techniques in the field. Inequalities from each section are ordered increasingly by the number of variables and the degree of difficulty. Each problem has at least one complete solution, and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.

This book is a sequel to the 116 Algebraic Inequalities from the AwesomeMath Year-round Program and 118 Inequalities for Mathematics Competitions. It delves into other elementary techniques but also powerful methods and generalizations for constrained optimization in the theory of inequalities. In the first section, the reader will encounter each of Abel's, Newton's, Maclaurin's, and Blundon's inequalities, the method of mathematical induction, the "mixing" and "stronger mixing" variable methods, and the method of Lagrange multipliers. The next sections are dedicated to the proposed problems, which are divided into introductory and advanced. Each problem is given at least one complete solution, and many problems have multiple solutions.

This book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The inequalities from each section are ordered increasingly by the number of variables: one, two, three, four, and multi-variables. Each problem has at least one complete solution and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.