#College Entrance Examination Mathematics # Application of inequalities and basic inequalities related to functions with absolute values (topic source: 2021 Anhui South Eight Schools Linmen Volume 1) known f(x)=x |

#College Entrance Examination Mathematics # Inequality Methods and Application of Basic Inequalities Related to Functions With Absolute Values (Topic Source: 2021 Class of Anhui South Eight Schools Linmen Volume 1)

Knowing that f(x)=x| x-1| + (x-1)| x-2 |, find the solution set of the inequality f(x) >0.

Note: Question 1 is very simple, the key is question 2, I know it is with a basic inequality, but I did not think of the easy method of Figure 3, I came up with a slightly more complicated method (Figure 4), which looks good.