Question:
why are sets necessary
Answer:
In everyday life, we often talk of the collection of objects such as a bunch of keys, flock of birds, pack of cards, etc.
In mathematics, we come across collections like natural numbers, whole numbers, prime and composite numbers.
The purpose of sets is to house a collection of related objects.
They are important everywhere in mathematics because every field of mathematics uses or refers to sets in some way.
EX: The ordered set (x1 ,x2 ,x3 ) of three points forms a vector in R3 if xi ∈ R
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