Question 5 of 47beginner🔧 ApplyShort Answer4 marks

List all the elements of the following sets:

(i)

A = {x : x is an odd natural number}

Answer

A = {1, 3, 5, 7, 9, ...}

(ii)

B = {x : x is an integer, –1/2 < x < 9/2}

Answer

B = {0, 1, 2, 3, 4}

(iii)

C = {x : x is an integer, x² ≤\leq 4}

Answer

C = {-2, -1, 0, 1, 2}

(iv)

D = {x : x is a letter in the word “LOYAL”}

Answer

D = {L, O, Y, A}

(v)

E = {x : x is a month of a year not having 31 days}

Answer

E = {February, April, June, September, November}

(vi)

F = {x : x is a consonant in the English alphabet which precedes k}.

Answer

F = {b, c, d, f, g, h, j}

Explanation

This question tests the conversion from set-builder form to roster form. In roster form, all elements are listed within braces separated by commas. For infinite sets, we show the pattern using dots. Key concepts: (1) Natural numbers start from 1, (2) Elements in a set are unique (no repetition), (3) Integers include negative numbers, zero, and positive numbers.

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