1.State whether the following statement are True or False and also give the reason in support of your answer.
(a) Collection of rich persons in India forms a set.
Solution
False.
Reason: – A collection of rich persons in India does not form a set as it does not satisfy the mathematical definition of a set, which requires that its elements are well-defined and distinct objects. The wealth of a person is a subject to change and is not a well-defined characteristic, hence the collection of rich persons cannot be considered as a set in mathematics.
Hence, Given statement is false.