Question

Ramon said that the set of integers is not closed for one of the basic
operations(addition, subtraction, multiplication or division ). You want
to show Ramon that his statement is correct. For the operation for which
the set of integers is not closed,write an example using
⇒A positive even integer and a zero
⇒ a positive and a negative even integer
⇒ two negative even integers
Be sure to explain why each of your examples illustrate that the set of
integers is not closed for thar operation

Answer 1

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$\huge \mathbb\fcolorbox{black}{lavenderblush}{Answer : ♡}$

Closure Property Verification :

A positive even integer and a zero :

Let it be 2 and 0

• Addition : 2+0 = 2 is an integer.
• Subraction : 2-0 = 2 is an integer.
• Multiplication : 2*0 = 0 is an integer.
• Division : 2÷0 = Not defined (Not an integer)

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Hope it helps you !

Answer 2

Answer:

The set of integers is not closed under the operation of division because when you divide one integer by another, you don't always get another integer as the answer. For example, 4 and 9 are both integers, but 4 ÷ 9 = 4/9