Which of the following sets is closed under division? natural numbers non-zero integers irrational numbers non-zero rational numbers

non-zero rational numbers

Step-by-step explanation:

Set is closed under division means:

For any two elements a and b in that set a/b must also belong to that set

Natural numbers :

1,2 are in the set of natural numbers but 1/2=0.5 is not in the set of natural numbers

Hence, set of natural numbers is not closed under division

Non-zero integers :

1,2 belongs to the set of non-zero integers but 1/2=0.5 is  not in the set of non-zero integers

Hence, set of non-zero integers is not closed under division

Irrational numbers:

√2,√2  belongs to the set of irrational numbers but √2/√2=1 is  not in the set of irrational numbers

Hence, set of irrational numbers is not closed under division

Non-zero rational numbers:

if p and q are any two non-zero rational then p/q is also a non-zero rational.

Hence, set of non-zero rationals is closed under division

your answer is b ^w^ hope i

step-by-step explanation: