Relations and Functions

Question 1
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Collection of all the months of a year beginning with the letter J.

Solution

The collection of all months of the year beginning with J = {January, June, July}

The collection is well defined and hence it forms a set.

Question 2
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A team of eleven best cricket batsmen in the world. 

Solution

The collection of eleven best cricket batsmen in the world is finite and well defined and is therefore a set. 

Question 3
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Collection of ten most talented writers of India.

Solution

Collection of ten most talented writers of India is a finite  different examples in this chapter is well defined as we know all the different examples in this chapter.

Hence, the collection forms a set.

Question 4
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Collection of natural numbers between 100 and 200 (both inclusive).

Solution

Collection of natural numbers between 100 and 200 (both inclusive) is well defined as we know about all the natural numbers that fall between the two numbers i.e., {100, 101, 102,...., 199, 200}.

Hence, the collection forms a set.

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