Abstract: inequality early in the mathematical field play an important role, it is well known. Some of the common inequality is to mathematical problems in learning and life provides a good solution. Inequality this knowledge, penetration in each branch of mathematics, has the extremely widespread application. This article through to several common inequality paper summarizes basic inequality, geometric inequality arithmetic average, sorting, Bernoulli inequality and some related properties of cauchy inequality, theorem and its application in mathematics.
Key words: basic inequality; Sequencing inequality; Geometric arithmetic average inequality; Cauchy inequality; Bernoulli inequality.