Describe the following sets in Roster form:
Question:

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 = 2nn ∈ 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’.

Solution:

Roster form:
In this form, a set is defined by listing elements, separated by commas, within braces {}.

(i) {a, b, c, d}

(ii) {1, 2, 3, 4}

(iii) {11, 13, 17, 19}

(iv) {2, 4, 6, 8, 10,…}

(v) ϕ

(vi) {2, 3, 5}

(vii) {17, 26, 35, 44, 53, 62, 71, 80}

(viii) {T, R, I, G, O, N, M, E, Y}

(ix) {B, E, T, R}

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