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.

Question

asked Feb 13, 2020 109k views

1 Answer

Behzad · Answer 1 · 2020-02-19T08:35:01+0000

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.