Inequality Values range Urgent

Solution: 1) f(x)=m(x 2-x+1)-6, because x 2-x+1>0 is constant, so f(x)<0, as long as m<6 (x 2-x+1) is constant, because m[-2,2], so.

As long as 6 (x 2-x+1) > 2, i.e. x 2-x-2<0, when -10 is obtained, only f(3)<0 (opening up, increasing to the right of the axis of symmetry) is required.

0 and finally take the union set to get m in the range of m<6 7

f(x)=mx^2-mx-6+m

For x[1,3], f(x)<0 is constant.

f(x)miax<0

f(x)=m(x²-x+1/4)-6+3/4mm(x-1/2)²+3/4m-6

When m<0, f(x)max=f(1)=m-6 is obtained from m-6<0 to m<6

m<0 are all in line with the topic.

When m=0, f(x)=-6 fits the topic.

When m>0, f(x)max=f(3)=7m-6<0 to get 00, g(m)max=g(2)<0 is required

i.e. 2(x -x+1)-6<0

x²-x-2<0

The range of the -1 real number x is (-1,2).

Inequality. There is a formula for the value range: take the same and take the same . There is no solution, take the middle.

Specifically, it can be explained as:

1.The "same" in "same" means that the two inequalities are the same sign, and "take" is the one that takes the alternative of the two numbers as the solution set of the inequality group.

2.The "same" in "same" means that the two inequalities are the same sign, and "take" is the one that takes the alternative of the two numbers as the solution set of the inequality group.

3."No solution", that is, the party that is larger than the data, and "small" means the party that is smaller than the data.

4.In "take the middle", " means that it is larger than the smaller data, and "small large" means that it is smaller than the larger data.

In summary, the value of the inequality is mainly taken from the common range of the two ranges, that is, the shaded part of the graph.

Now for everyone, in fact, when so many people want to solve math problems in life, it will indeed bring us a lot of annoyance, especially many girls, they have not subverted in mathematics, and how to learn feel more difficult, especially inequalities in mathematics, then some people will have such doubts, that is, the value range of solving inequalities in mathematics is specific. What is the solution? For this problem, in my personal opinion, for example, the use of simple calculations or step-by-step calculations, let's take a closer look.

1 Simple calculation

In my personal opinion, in fact, I think that the inequality in mathematics is the most headache when I was studying, and for his applications, it is really complicated, if you don't understand some of the basic knowledge in it, then it is very difficult to complete this problem correctly, so in my personal opinion, I think a specific solution, that is, we can do it in a simple way. We've talked about this before.

2 Step-by-step calculation

For those application problems in math problems, if we have no clue, we can deduce some of her values through some known conditions of the problem. In this way, we can also get some relevant and useful information, which is actually of great help to us, so in the process of solving the problem, a specific method also includes the distribution calculation method, step by step.

So we should pay more attention to this aspect of the problem in our daily life, for everyone, understanding this aspect of the problem is of certain benefit to us, of course, I have some methods in learning is the school, for example, when we are before class, we must consciously preview the content of the bridge rough class, and then listen carefully to the teacher's explanation during the class, if you encounter the knowledge points you don't understand, you must seriously consult the teacher, After class, it should also be timely to be consolidated.

You need to substitute the commonly used parameters, list an inequality, and then proceed left and right, and addition, subtraction, multiplication and division can be solved.

In mathematics, the range of values for solving inequalities is greater than minus one and less than or equal to 0, and specific parameters must be brought in to calculate it.

Based on the specific number, there is a reasonable range, and then the value is taken, so that the corresponding problem can be solved.

I believe that when everyone solves the relevant problems in mathematics, they will also have great doubts, and some problems are not solved by us. So I think we can consult the relevant people, then some people will have such doubts, that is, what are the specific methods for solving the value range of inequalities in mathematics? In my personal opinion, for example, determine the symbol of the value first.

Then through the step-by-step answer, let's take a closer look.

1 Determine the symbol of the numeric value

We all know that it is only when solving mathematical problems, this is indeed a difficult point in mathematics, and if your understanding ability is not good enough, it is likely that you will not be able to do such a problem, so in my personal opinion, I think the easiest way is that we must determine the symbol of the number in mathematics, and only after determining the symbol can we understand the nature of the number in it.

2 step-by-step answers

For everyone, when solving math problems, if you understand some of the ways and methods in it, then the speed of your problem is quite fast, but if you don't master this method, then even if you can't do it in the draft, so in my personal opinion, in addition to what I said above, we can also use a step-by-step approach, that is, to get relevant information from the mediation given by the problem.

Therefore, in our daily life, we should also pay more attention to this aspect of the problem, for everyone and the problem of rehearsal decision-making, it is of certain benefit to us, of course, if we have some easier methods, we can also try to adopt it, because when solving a mathematical problem, we generally only pay attention to its result, if the result is correct, then the problem is correct, but there are many ways to do it.

It depends on the direction of the symbol, the direction of each symbol is different, and the range of values is also very different, which can be solved by the number line.

First of all, you should determine the sign of the value, and then solve it step by step, and finally you can calculate the value in the inequality.

It is necessary to determine the symbols, understand the properties, have the steps to solve them, obtain the information in them, and improve the speed of doing the questions.

When finding the value range, it can be expressed by interval or set, and basically when doing fill-in-the-blank questions, it is required to use interval or set to represent the value range. The set of all values that fall within a specific required range is called the Takeaway Value Range. Once a compartment is assigned to an object (tables, indexes, and clusters), the compartment cannot be assigned to other objects.

What is inequality

Inequalities are divided into strict inequalities and non-strict inequalities. In general, inequalities connected by pure greater than signs, less than signs" "are called strict inequalities, and inequalities connected by no less than (greater than or equal to signs) and no greater than (less than or equal to signs)" are called non-strict inequalities, or generalized inequalities. The relationship between the numbers in a formula is not all equal signs, and the formula with unequal symbols is an inequality.

There are two basic ideas for solving this problem.

The first idea is to take x as the main variable and discuss it according to whether m+1 is equal to zero. Obviously, when m=-1, the range of x is a true subset of the set of real numbers, which does not meet the requirements. When m is not equal to -1, the parabolic grinding line f(x) should be open downward, and the macro bucket formula should be less than zero.

The second idea is to rearrange m as the main variable to (x 2-x+3)m+x 2+x-3<0, and solve m. according to the fact that x is an arbitrary real number

Good luck!

Solution: x 2+x+1=(x+1 2) 2+3 4 0 then 3x 2+2x+2 m(x 2+x+1) i.e. (3-m) x 2+(2-m)x+(2-m) 0, for any m, 3-m 0, and =(2-m) 2-4(3-m)(2-m) 0

solution m 3, and 3m 2-16m + 20 0

, m3, and m 10 3, or m 2 m 2

Did you write it right? 2x also Sakura God is 2 x, if yes, then.

Important is not the spine buried loss equation.

Left = 2 times 6 (1 liquid or 2) + 2 times 2 (1 2) + 1 = m

3x^2+2x+2/x^2+x+1≥m

Because of Li rent x 2+x+1 1 4>0

then 3x 2+2x+2 mx 2+mx+m

3-m)*x 2+(2-m)x+2-m 0 is true for any real number x constant slip of the signal scrambling number.

3-m>0 m<3 (1)

2-m)^2-4(3-m)(2-m)≤0

2-m)(2-m-12+4m)≤0

m-2)(3m-10)≥0

m 2 or m 10 3 (2).

In summary: m 2