1, interval method:
Use interval form to represent values in a certain range. There are four kinds of intervals, which are closed intervals, open intervals, semi-closed and semi-open intervals and semi-open and semi-closed intervals. Closed intervals are represented by square brackets, such as 1 all real numbers from 5;
The open interval is indicated by brackets, such as (1, 5) indicating all real numbers from 1 to 5 but excluding 1 and 5; Semi-closed and semi-open intervals are represented by a mixture of square brackets and parentheses, such as all real numbers from 1 to 5 but excluding 1.
2. Inequality:
It is a common expression in mathematics, which can express the relationship between variables or functions and constants. In the representation of range, inequality is usually used to describe the range of variables or functions.
For example, if you want to represent the range of real number x greater than or equal to 2 and less than or equal to 4, you can use the inequality x >；; 2 and x ≤ 4. Similarly, when a range of real number x is less than or equal to 5, it can be expressed by inequality x ≤ 5.
The difference between inequality and interval method in application scenarios;
1, the usage of inequality method
Inequality is mainly used to express the size relationship between two numbers. For example, in solving mathematical problems, physical problems, engineering problems and so on. Inequalities are often used to represent the range of values of variables or functions. Inequalities can be used to compare sizes, solve the maximum value and judge inequality relations.
2. The use of interval method
Interval rules are mainly used to represent values in a certain range, for example, in statistics, data analysis, numerical calculation and other fields. , usually need to use interval to represent the range of data values. Interval method can be used for data segmentation, statistical analysis, error estimation and optimization.
Generally speaking, inequality and interval method are different in application scenarios, but they are both important concepts in mathematics and can be used to solve various practical problems.