Respuesta :

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Answer:

-4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

if x is an integer number, we have 2,305 solutions.

Step-by-step explanation:

We want to write an inequality such that the numbers:

3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

Now, how many solutions does this inequality has?

if x is a real number, then we have infinite solutions.

if x is an integer, then the total number of solutions will be equal to:

number of negative solutions (4)

number of positive solutions (2,300)

the number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A.  Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

B.  The number of the solution to the inequality will be

We have limitless solutions if x is a real number.

If x is an integer, the set of possible solutions will be

The number of negative solutions (4)

The number of positive solutions (2,300)

The number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

More about the inequality link is given below.

https://brainly.com/question/19491153

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