The collection Of all even integers. Are the given is a set? Justify your answer.
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set is a well defined collection of distinct objects. for example :- A is collection of natural number between 1 to 10. we can write it A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Here A is well defined Collection of distinct numbers hence, A is a set.
given statement ---> The collection of all even integers. The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection. hence, collection is a set.
given statement ---> The collection of all even integers. The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection. hence, collection is a set.
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Answer:
A=(0,2,4,6,8.............998,1000,........)
yes
the collection of all even integers is a set
as it does not vary from person to person.
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