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Determine whether the set is closed for the given operation.

explain your reasoning. -- -the set of integers for division
-the set of positive integers for subtraction.

User XMilos
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Closure Property for the set of integers for Subtraction

Take two integers,

A=6

B=9

A-B

=6-9

= -3

Which is also an Integer.Hence Closure Property is satisfied by Integers with respect to Subtraction.

⇒Closure Property for the set of integers for Division

Take two integers,

A=6

B=9


\rightarrow (A)/(B)\\\\=(6)/(9)\\\\=(2)/(3)-----\text{Not an Integer}

Which is not an Integer.Hence Closure Property is not satisfied by Integers with respect to Division.

User Behzad
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