Analyzing the methodological and scientific literature, we can conclude that researchers, using the graphical method, identify and consider various methods for solving equations and inequalities, list the actions corresponding to them, and give examples of exercises for their formation. But the development of a set of tasks for teaching each type of activity of the method and the use of information technology to study the material remains one of the most pressing issues in modern school education. As a result of the analysis of scientific and methodological tools, the article revealed situations when the properties of functions are used in solving equations and inequalities. We believe that the methods for solving equations and inequalities using a graphical method allow us to move from knowledge to skills, show ways of action, which, in turn, open up such ways of thinking as analysis, synthesis, generalization, etc.

The topic "Inequality" occupies an important place in the school course of algebra. It is rich in content, methods for solving inequalities, and applications in the study of a number of other branches of algebra. It has been established that equations and inequalities are widely used in various areas of mathematics, in solving important applied problems. Finding the answer to various and complex inequalities shows a high level of solving mathematical problems. The graphical method for solving inequalities is the best way to complete tasks. The examples show that mastering the methods for solving equations and inequalities allows you to move from knowledge to skills.