What are the mean inequalities? Please specify the defined domain

The range of inequalities is the set of values in which an inequality holds when the values of the variables of the inequality are within that range.

The range of inequalities can be found by the properties of inequalities. The properties of inequalities commonly used are as follows:

1.Reflexive properties: For any real number x, there is x≠x

2.Commutative properties: For arbitrary real numbers x and y, there is xx

3.Binding properties: For any real numbers x, y, and z, there is x" y and y0, and its range can be obtained in this way:

1.First, the inequality is reduced to the form of a quadratic inequality: (x-1)(x-2)>0

2.Solve the unary quadratic inequality: x (-1) (2,+

3.Add two endpoints in the range to the range: x (-1] [2,+

With the above steps, we can get the inequality x 2-3x+2>0 in the range x (-1] [2,+

Note that the endpoints in the range can be open or closed. It depends on the sign of the inequality and the numerical value in the inequality. For example, for the inequality x 2-3x+2 0, it has a range of x [1,2], where the interval endpoints are all closed intervals.

In addition, the range of the range can also be infinity. For example, for an inequality x 2>0, it has a range of x (-

In short, by using the properties of the inequality, the collapse domain of the inequality can be easily obtained.

Basic Inequality Formula:

1）(a+b)/2≥√ab

2）a^2+b^2≥2ab

3）(a+b+c)/3≥(abc)^(1/3)

4）a^3+b^3+c^3≥3abc

5）(a1+a2+…+an)/n≥(a1a2…an)^(1/n)

6）2/(1/a+1/b)≤√ab≤(a+b)/2≤√[a^2+b^2)/2]

Basic properties of inequality:

If x>y, then yy. (Symmetry).

If x>y, y>z. Then x>z. (Transitivity).

If x >y and z is an arbitrary real number or integer, then x+z>y+z. (The additive principle, or additivity of co-directional inequalities).

If x>y,z>0, then xz>yz. If x>y,z<0, then xz

If x>y, m>n, then x+m>y+n. (sufficient and unnecessary).

Add or subtract the same number or formula on both sides of an inequality, and the direction of the inequality sign does not change. (Change the number of the move item).

Multiply or divide the two sides of an inequality by the same positive number, and the direction of the inequality sign does not change. (Equivalent to a coefficient of 1, which can only be used if it has to be positive).

Multiply or divide the two sides of the inequality by the same negative number and the direction of the unequal sign changes. (or 1 negative number).

a=0x+1> Piqi 0,x0, upward.

Discriminant formula = 1-4a1 4, then Evergrande is covered at 0

a=1 deficit state 4,(x 2-1) 2>0,x is not equal to 2 discriminant = 1-4a>0,0

Remember that removing the root number is either 1 or -1

Do the homework yourself, thank you, if you really want to understand the homework, shouldn't you go to a certain ape to search for it?

<> If you agree with me, please click the [Satisfied] button in time The mobile phone questioner can comment "Satisfied" in the upper right corner of the client. Yours is my motivation to move forward

Good luck with your studies! If you don't understand, you can ask! Thank you! ~