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How to state that whether the objects form a set or not?

Sagot :

How to state that whether the objects form a set or not?

1. A collection of ‘lovely flowers’ is not a set, because the objects (flowers) to be included are not well-defined.

Reason: The word “lovely” is a relative term. What may appear lovely to one person may not be so to the other person.

2. A collection of “Yellow flowers” is a set, because every red flower will be included in this set i.e., the objects of the set are well-defined.

3. A group of “Young singers” is not a set, as the range of the ages of young singers is not given and so it can’t be decided which singer is to be considered young i.e., the objects are not well-defined.

4. A group of “Players with ages between 18 years and 25 years” is a set, because the range of ages of the player is given and so it can easily be decided which player is to be included and which is to be excluded. Hence, the objects are well-defined.