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A set of numbers is said to be COMMUTATIVE under the operation '+' if m + n = n + m, for any two numbers m and n of that set. Similarly, a set of numbers is said to be COMMUTATIVE under the operation '×' if m × n = n × m.

Which of the following sets is COMMUTATIVE under the operation '-'?

A)the set of integers
B)the set of natural numbers
C)the set of rational numbers
D)none of the above

Respuesta :

AnujChoithani

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

Learn more:

https://brainly.com/question/11322954

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