Write the following sets in roster form: (i) ...

NCERT Class XI Mathematics - Sets - Solutions

Question : 3 of 73

Marks: +1, -0

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 TRIGONOMETRY

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

Solution:

(i) Integers lying between –3 and 7 are –2, –1, 0, 1, 2, ....., 6

∴ A = {–2, –1, .... , 6}.

(ii) Natural numbers less than 6 are 1, 2, 3, 4, 5.

∴ B = {1, 2, 3, 4, 5}

(iii) Two digit natural numbers such that the sum of its digits is 8 are 17,

26, 35, 44, 53, 62, 71, 80.

∴ C = {17, 26, 35, 44, 53, 62, 71, 80}

(iv) Prime number divisors of 60 are 2, 3, 5. \ D = {2, 3, 5}

(v) Word TRIGONOMETRY is formed by using the letters T, R, I, G, O, N, M, E, Y.

∴ E = {T, R, I, G, N, O, M, E, Y}

(vi) Word BETTER is formed by using the letters B, E, T, R

∴ F = {B, E, T, R}

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