Mathematics: equations and inequality. Preparation for the exam: profile level

The proposed manual presents a diverse material of the profile level to prepare for solving equations and inequalities. This includes all the basic methods for solving the equations studied in primary and high school: entire rational, fractional-rational, irrational, logarithmic and indicative.
The solution of inequalities by rationalization has become actively introduced in the USE in mathematics in recent years.
The numerous examples with detailed solutions and justifications show various methods and ideas for solving equations and inequalities.
At the beginning of each paragraph, the main reference materials are given, and at the end - a large number of examples for independent solutions with answers.
The manual is intended for graduates of secondary schools, students of preparatory departments, methodologists and tutors, and can also be useful to mathematics teachers as additional material for a school textbook for work in classes with in-depth study of mathematics and when conducting circle and optional classes