1, such as finding the inequality x 2-6x+9-a 2.

2. According to this inequality, the maximum value of x can be obtained. Because the square of the distance from x to 3 is less than or equal to the square of a, the maximum value of x is 3+a and the minimum value is 3-a, so the solution set of inequality is 3-a, 3+a.

3. If we want to further simplify this inequality, we can discuss A in different categories. When a>0, the solution set of inequality is 6-2a, 6+2a; When a=0, the solution set of inequality is 0,6; When a<0, the solution set of inequality is 6+2a, 6-2a.

Application of inequality in mathematics;

1, proved by theory. Inequality plays an important role in mathematical proof. For example, using basic inequalities, we can prove some mathematical theorems, such as the sum of two sides of a triangle is greater than the third side, or the triangle identity. In addition, some mathematical conclusions can be proved by constructing appropriate auxiliary functions or using monotonicity of functions.

2. Data analysis. In statistics and machine learning, it is often necessary to deal with a set of numbers, so it is necessary to use inequalities to constrain the data reasonably. For example, in outlier detection, inequalities can be used to exclude the influence of outliers on data analysis. In classification algorithms, inequalities are also used to construct classifiers, such as logistic regression models.

3. Optimization problem. In optimization problems, it is usually necessary to find an optimal solution from a set of numbers. For example, in the production plan, we need to find a combination of production plans to minimize the total cost. In this process, inequalities are often used to describe constraints, such as resource constraints and time constraints. By solving the inequality group, we can get the solution that satisfies all constraints.