Question

Which of the following sets are closed under subtraction? Select all that apply.

Answer 1

only integers and polynomials are under subtraction.

Answer 2

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.