Question

If the elements of one set can be put into one to one correspondence with the elements of another set then the two sets
are called
sets.
A)
Equal set
B)
Equivalent set
C)
finite set
D)
Singleton set

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If the elements of one set can be put into one to one correspondence with the elements of another set then the two sets are called

A) Equal set

B) Equivalent set

C) Finite set

D) Singleton set

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

Equivalence of Sets

If the elements of two sets can be pair wise such that each element in the first set A can be paired to only and only one element to the other element in set B , then we say that there exists a one-to-one correspondence between the two sets A and B .

This two sets A & B are said to be equivalent.

EVALUATION

From above we can conclude that

If the elements of one set can be put into one to one correspondence with the elements of another set then the two sets are called

B) Equivalent set

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