Q. 54.2( 17 Votes )

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Answer :

We know that in roster method, we write all the elements of a set in curly brackets. Each of the element is written only once and separated by commas. The order of the element is not important but it is necessary to write all the elements of the set.


(i) B = {x: x is a natural number smaller than 6}


Natural numbers are 1, 2, 3 …


B = (1, 2, 3, 4, 5}


(ii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}.


8 can be the sum of digits when the two digits are 1, 7 (or) 2, 6 (or) 3, 5 (or) 4, 4.


C = {17, 26, 35, 44, 53, 62, 71}


(iii) D = {x: x is a prime number which is a divisor of 60}.


The prime factorization of 60 = 22 × 3 × 5


D = {3, 5}


(iv)E = {x: x is an alphabet in BETTER}.


E = {B, E, T, R}


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