Write the following sets in roster form:
(i) A = {x : x is an integer and `3 < x < 7`}
(ii) B = {x : x is a natural number less than 6}
(iii) C = {x: x is a two digit natural number such that the sum of its digits is 1
(iv) D = {x : x is a prime number which is divisor of 60}
(v) E = The set of all letters in the word TRIGONOMETRY
(vi) F = The set of all letters in the word BETTER

Explanation

(i) A = set of all integers lying between -3 and 7
`rArr A={-2,-1,0,1,2,5,6}`
(ii) B = set of natural numbers less than 6
`rArr B = {1,2,3,4,5}`
(iii) C = natural numbers of two digits, the sum of whose digits is 8
`rArrC={17,26,35,44,53,62,71,80}`
(iv) D = set of prime numbers, division of 60.
`rArr D = {2,35}`
(v) E = Set of all letter in the word TRIGONOMETRY
`rArrE={T,R,I,G,O,N,M,E,Y}`
(vi) F = Set of all letters in the word BETTER
`rArrF={B,E,T,R}`.