Verified Answer :

Answer:

Integers

Polynomials

Step-by-step explanation:

A set is closed under an operation if performance of that operation on members of the set always produces a member of that set.

so, closed under subtraction means if we subtract two numbers of a set than it must belong to that set.

Integers:  They are closed under subtraction.

since, if we subtract two integers it will be an integer only.

Irrational numbers:  They are not closed under subtraction.

example- 2+√2 and √2 are two irrational numbers but 2+√2-√2=2 which is not an irrational number

Whole numbers: They are not closed under subtraction.

example- 1 and 2 are whole numbers but 1-2= -1 is not an whole number.

Polynomials: They are closed under subtraction.

Closed under subtraction means if subtracts two numbers of a set then it must belong to that set.

The sets that are closed under subtraction are Integers and polynomials.

What is the closed under subtraction?

A set is closed under an operation if the performance of that operation on the member of the sets always produces a member of that set. So, under subtraction means if subtracts two numbers of a set then it must belong to that set.

Given

Integers, Irrational numbers, whole numbers, and polynomials.

To find

The closed under subtraction.

  1. Integers - They are closed under subtraction. If we subtract two integers then it will be integer only.
  2. Irrational numbers - They are not closed under subtraction. It \(2 + \rm \sqrt{2}\) is subtracted by \(\rm \sqrt{2}\) then \(\rm 2 + \sqrt{2} - \sqrt{2} = 2\) hence it is not an irrational number.
  3. Whole numbers - They are not closed under subtraction. If 1 and 2 are the whole number then on subtraction 1 - 2= -1 which is not a whole number.
  4. Polynomials - They are closed under subtraction. If we subtract two polynomial then it will be polynomial only.

Thus, the sets that are closed under subtraction are Integers and polynomials.

More about the closed under subtraction link is given below.

https://brainly.com/question/678003

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