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Roster Form

Describe the ...

Question

Describe the following set in Roster form:

(vi) ${x : x$ is a prime number which is a divisor of 60 $}$

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Solution

Given: $x$ is a prime number $\Rightarrow x \in N$

All numbers which are divisor of 60 are,
$1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.$

Now numbers which are prime $= 2, 3, 5$ .

$∴$ Roster form will be $= {2, 3, 5}$ .

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Q. Describe the following sets in Roster form:
(i) {x : x is a letter before e in the English alphabet};
(ii) {x ∈ N : x² < 25};
(iii) {x ∈ N : x is a prime number, 10 < x < 20};
(iv) {x ∈ N : x = 2n, n ∈ N};
(v) {x ∈ R : x > x}.
(vi) {x : x is a prime number which is a divisor of 60}
(vii) {x : x is a two digit number such that the sum of its digits is 8}
(viii) The set of all letters in the word 'Trigonometry'
(ix) The set of all letters in the word 'Better'.

Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

(i) {1, 2, 3, 6}	(a) {x: x is a prime number and a divisor of 6}
(ii) {2, 3}	(b) {x: x is an odd natural number less than 10}
(iii) {M, A,T, H, E, I,C, S}	(c) {x: x is natural number and divisor of 6}
(iv) {1, 3, 5, 7, 9}	(d) {x: x is a letter of the word MATHEMATICS}

Describe the following sets in Roster form :

(i) {x : x is a letter before e in the English alphabet}.

(ii) { $x ϵ N : x^{2} < 25$ }

(iii) { $x ϵ N$ : x is a prime number, 10 < x < 20}.

(iv) $x ϵ N : x = 2 n, n ϵ N$ .

(v) $x ϵ R : x > x$ .

(vi) {x : x is a prime number which is a divisor of 60}

(vii) {x : x ix a two digit number such that the sum of its digits is 8}.

(viii) The set of all letters in the word ' Trigonometry'.

(ix) The set of all letters in the word 'Better'.

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.

Q. 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.

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