Under what circumstances is an inequality unsolvable?

The unsolution of an inequality is when you come to a conclusion in the process of solving the inequality that is obviously not valid, such as the term -1 is greater than 0 or something.

The other thing is that the conclusion you solve conflicts with some known conditions, and if the two do not intersect, there is no solution.

At 0 it only means that there is no solution in the range of real numbers, it is not absolute, it still has a solution in the range of imaginary numbers.

Unsolved by definition means that there is no root satisfying a known inequality.

However, what to say about the situation still depends on the specific situation.

For example, when the discriminant formula is less than 0 and the opening is upward, the inequality is less than 0 and has no solution.

You'd better pass on the specific topic.

Simplify, and derive logical errors that prove this inequality misunderstanding.

For example, if you solve an inequality and finally get that the square of x is less than 0, or 1 is less than 0, you can prove that there is no solution.

The inequality does not hold.

For example, the inequality of a>b.

But the maximum value of a is smaller than the minimum value of b.

In this way, the solution set is an empty set, and there is no solution.

I don't know how to send a letter, thank you

Supplement: 5-2x -1

x-a 0 without a solution then the value range of a is .

5-2x≥-1

3≥xx-a＞0

x>a, because there is no solution, that is, (-infinity,3】and (a,+infinity) are disjointed, so a3 thanks

Yes, your answer is correct. The specific solution process is as follows:

5-2x≥-1(1)

x-a＞0 (2)

Solve inequality (1) to get:

x 32).

x>a is also because: large and small have no solution, and the same number has no solution.

So a 3

When there is no intersection of the solution set, like x>6, x<3There is no solution to that inequality.

<> inequality has no solution, the inequality does not hold, and there is no solution that can meet the requirements. In general, use a pure greater than sign.

"Less than" is a one-dimensional inequality.

An inequality that contains one unknown (i.e., unary) and the number of unknowns is one (i.e., one). e.g. 3-x>0.

The same is true of a binary inequality: an inequality with two unknowns (i.e., binary) and the number of unknowns is one (i.e., one).

x+a≥0x≥-a

1-2x>x-2

1+2>2x+x

3x<3

x<1 is: -a x<1

No solution, get: -a 1

Therefore, the value range of a is a -1

If we know that the inequality group x -3 x a (1) If there is no solution to this inequality group, find the range of the value of a, and let me come.

1) If there is no solution to the inequality group, it means that it belongs to the situation of "big and small nowhere to find" or -3=a, so the value range of a is a -3, and the number axis is as follows: (2) If there is a solution, then contrary to the situation of (1), a should take a number other than -3, so the value range of a is a -3, and the number axis is as follows:

If there is no solution for the inequality group x2m-1, find the range of m and let me come.

x-m+1, x>2m-1

So 2m-1suo is set up to have 2m-1bu.

So 2m-1 m+1

m 2 about x unary inequality group has a solution, no solution, what are the methods and skills for solving problems such as finding the range of values of m? When will it be or I will come.

If there is a solution or no solution to the two inequalities of a group of unary inequalities: the same large, then choose the value of x large, and if there is a solution with the same small, then choose the value of x small (e.g., x>2, x>3, then x>3 or x 2, x 3, then x 3), if there is a solution greater than the small and less than the large, then the value of x is in the middle of them (e.g

x<10, x>5, then 5you solution is greater than the big one and less than the small one, then there is no solution.

If it is a group of inequalities, first solve the two inequalities, and represent their solution sets on the number line, if they have no common part, it means that there is no solution.

If it's an inequality, count it in the normal order, and if you end up eliminating all the unknowns, then you write it directly.

Because it is impossible to determine the range of unknowns, there is no solution.

{x a,{x b (aFor example, the set of solutions to an inequality group like this is an empty set, and the inequality has no solution.

Formula: Small big can't be found.

A 1, a 1 has no solution.

a 1, a less than or equal to 1 no solution.

If the range of unknowns cannot be determined, the inequality will be unsolvable. When solving a group of inequalities, two inequalities are solved, and their solution sets are represented on the number line, and if they have no common parts, then there is no solution.

The solution of the group of inequalities

1.If the solution set of two unknowns is represented in the same direction to the left on the number line, the solution set of the unknown numbers on the left is the solution set of the inequality group, which is "the same small takes the smaller";

2.If the solution set of two unknowns is represented in the same direction to the right on the number line, the solution set of the unknown on the right is taken as the solution set of the inequality group, which is "the same is greater";

3.If the solution set of two unknowns intersects on the number line, the value between them is taken as the solution set of the inequality group. If x represents the solution set of the inequality, it is generally represented as a4

If the solution set of two unknowns is facing away on the number line, then the solution set of the inequality group is an empty set, and the inequality group has no solution. This is "taking emptiness from the back".

Question 1: What is an inequality solution? The solution of the inequality, i.e., the unknown condition that satisfies the inequality for the inequality to be true, such as 2x+5>25

2x>20

x>10

Then x>10 is the solution to this inequality.

Question 2: What is the meaning of solving inequality 5 points and solving equations has one meaning, one is equal and the other is not equal to.

The difference between the two is just the difference in symbols.

Equation = Inequality ,

The solution of an inequality is the value of an unknown number that makes the inequality hold in an inequality that contains an unknown hailstone.

Solution of inequality (solutionofaninequality) is one of the basic concepts of inequality, which refers to the value of the unknown number that can make the inequality true in an inequality containing unknowns. For example, for the inequality 2x+1> the imaginary difference 0, x=1 is one of its solutions, (a1 2,+} is the set of solutions for its differential grip, and for numerical inequalities, unless otherwise specified, the solution of the inequality is usually found in the range of real numbers.

The first word 'big' means 'greater than', the second 'big' word means 'larger number', the first 'small' word means 'less than', and the second 'small' word means 'smaller number'.

So, the meaning of the whole sentence is: a number must be greater than a larger number and less than a smaller number, then such a number does not exist. If x>2 and x<1, then x has no solution.

For example, the group of inequalities 2x+2 8(1).

x+5＜1 （2）

Solution (1) gets: x 3

Solution (2) gets: x -4

A number greater than 3 and smaller than -4 does not exist, so there is no solution.

No solution means that there is no root that makes the equation true, and the specific solution depends on the problem, but you can sometimes verify it first after solving it. ．

For the unary linear equation ax+b=0, if the equation has no solution, it means a=0 and b≠0

For the unary quadratic equation ax +bx+c=0, if the equation has no solution, the discriminant equation δ=b -4ac<0

For the unary quadratic inequality ax + bx + c>( 0, if the inequality has no solution, it means a<0 and δ=b -4ac<( 0

For the unary quadratic inequality ax + bx + c>( 0, if the inequality has no solution, it means a<0 and δ=b -4ac<( 0

For example, if you solve x>a, xb x> a with a large size, and less than a small b, you have no solution, and you can draw a number line to see that there is no intersection.

Large-size means that the solution set is larger than the larger number and at the same time has to be smaller than the smaller number. This situation cannot be established, so there is no solution.

e.g. x1 10, x2 2 So there is no solution to the inequality.

Understood in letters:

The same is a>b

A>C takes the greater of B and C as A> and B is the same as the small one is Ab Ac) or A>C (C>B).

The unsolved size of the small large is a>b ac(b>c).

Take the value between b and c and write it as ba>c

The numerator approaches infinity and the denominator approaches infinitesimal and there is no solution.

Are you asking about inequality groups?

∵5-2x≥-1

x 3 is unsolvable because x-a 0.

So there is no solution to x a.

To make x a unsolvable.

a≥x∴a≥3

You can do this kind of problem according to this format, it is very simple to use the reverse method, or you can use the image method to draw it on the number line.

For example, the group of inequalities 2x+2 8(1).

x+5＜1 （2）

Solution (1) gets: x 3

Solution (2) gets: x -4

A number greater than 3 and smaller than -4 does not exist, so there is no solution.