Question

Let and Are the following true?
(i) is a relation from to
(ii) is a function from to  
Justify your answer in each case

Medium

Solution

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and

It is given that

(i) A relation from a non-empty set   to a non-empty set    is a subset of the Cartesian product 
It is observed that f is a subset of 
Thus is a relation from  .

(ii) Since the element corresponds to two different images i.e., and . So, relation is not a function

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