Is the collection of all even integersset? Justify your answer - Vidyadip

Question

Is the collection of all even integersset? Justify your answer

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Answer

The collection of all even integers is a well-defined collection because there couldn’t be difference between choosing the even integers from the collection of given numbers or all the numbers taken at a large. The choice will not vary from person to person.
The given collection has well-defined objects which meet the universal criteria.
Therefore, this collection is a well defined and distnict object ,now the set is
{x: x =….-6,- 4, -2, 0, 2, 4, 6…where n is even integer 2k for some unique interger k}

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