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Q.

The set of whole numbers are not satisfying the property under subtraction and division is

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a

Closure property

b

Commutative property

c

Associative property

d

All

answer is D.

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Detailed Solution

A)Closure property: Let 4,5W

now 4-5=-1W

Whole numbers not closed under subtraction

Now 45W whole number not closed under division

Commutative property : Let 2,3W

Now 2-3=-1 but 3-2=12-33-2

 Whole numbers does not satisfies commutative property under subtraction

Now 2332Whole numbers does not satisfies commutative property under division

Associative property: Let 2,3,4W

Now 2-(3-4)=2-(-1)=2+1=3

But (2-3)-4=-1-4=-5

The set of whole numbers does not satisfies Associative property under subtraction

Now 2÷(3÷4)=2×43=83

(2÷3)÷4=23×14=16

Set of whole numbers does not satisfies Associative property under division

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The set of whole numbers are not satisfying the property under subtraction and division is