Ask the master to tell me in detail the solution of absolute value inequality, the solution of one variable quadratic inequality, must be detailed,

Ask the master to tell me in detail the solution of absolute value inequality, the solution of one variable quadratic inequality, must be detailed,

The solution of the quadratic inequality of one variable: first, turn the quadratic term into positive, and then decompose the factor, so that each factor is 0, find two. Solve the inequality according to the formula
Pithy formula: greater than take two sides (greater than the big root, less than the small root), less than take the middle (between two). If there is an equal sign, directly add it to the result
The solution of absolute value inequality: discuss according to the situation, make the absolute value equal to 0, find the decomposition point; an absolute value has only one zero point, divide the number axis into two parts, so discuss it in two parts; two absolute values have two zeros, divide the number axis into three parts, discuss it in three parts; find the intersection after each part is solved, and finally keep all the situation when summarizing, It's Union

Junior high school's solution of one variable linear inequality with absolute value
Junior high school with absolute value of a single inequality solution?
For example: | 2x-1 | > 2x-1

1.2x-1 > = 0, i.e. x > = 1 / 2
No solution for 2x-1 > 2x-1
2.2x-1

Solution of quadratic inequality with one variable and solution of inequality with absolute value!
Now in high school, learn that set and function. There are many solutions are related to these two aspects of the problem. Please give 1 yuan quadratic inequality, absolute value inequality solution

What you said is too abstract. When I was in senior three, most of them used these methods, such as 1-ary quadratic inequality, absolute value inequality, direct solution, drawing image, etc
If you don't understand something, I'd like to discuss it with you. (I'm online now)

The solution of one variable quadratic inequality, including the solution of absolute value inequality?
1、 The solution of quadratic inequality of one variable
1. Simplification;
2. Find the root of ax ^ 2 + BX + C = 0;
3. Write the solution set
Ax ^ 2 + BX + C > 0 is constant on R____________________ .
When ax ^ 2 + BX + C0, | x | > a x ^ 2 > A ^ 2_______________ ；|x|

3.a>0 b>0 b^2-4ac