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Identify whether the following is set or not? Justify your answer. The collection of all even integers.

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Question

Identify whether the following is set or not? Justify your answer.

The collection of all even integers.

Short/Brief Note
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Solution

The collection of all even integers is {....., -4, -2, 0, 2, 4, .....}, which is a well-defined collection because one can definitely identify an even integer that belongs to this collection.

Hence, this collection is a set.

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Chapter 1: Sets - EXERCISE 1.1 [Page 4]

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NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.1 | Q 1. (vii) | Page 4

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