Uma abordagem sobre desigualdades e suas aplicações

Abstract

This work constitutes of mathematical inequalities and their applications to high school approach. In this sense we highlight some important inequalities in mathematics literature that may provide support for the content studied in elementary mathematics. The preparation took from basic prerequisites induction, basic properties of inequalities, modulus of a real number, medium, convex and concave functions, complex numbers, followed by presentation of inequalities, with statements accessible to the public with knowledge of basic mathematics. The work concludes with applications related to the topic discussed, giving students contact with problems that stimulate reasoning ability. Most applications are compared with the contents of the basic education program in the area of geometry, algebra and optimization