A. Write an inequality for which 3, -4, 0, and 2,300 are solutions B. How many total solutions are there to your equality?

-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.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.