Question

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 8 }

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

(v) E = The set of all letters in the word TRIGONOMETREY

(vi) F = The set of all letters in the word BETTER

Answer 1

(i) A = {x : x is an integer and -3 < x < 7}

$\therefore$ A = {-2, -1, 0, 1, 2, 3, 4, 5, 6}

(ii) B = {x : x is a natural number less than 6}

$\therefore$ B = {1, 2, 3, 4, 5}

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

$\therefore$ C = {17, 26, 35, 44, 53, 62, 71, 80}

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

$\therefore$ D = {2, 3, 5}

(v) E = The set of all letters in the word TRIGONOMETRY

$\therefore$ E = {T, R, I, G, O, N, M, E, Y}

(vi) F = The set of all leters in the word BETTER

$\therefore$ F = {B, E, T, R}