List all the elements of the following sets

List all the elements of the following sets:

(i) A = {x: x is an odd natural number}
(ii) B = {x: x is an integer, ½ < x < 9/2 }
(iii) C = {x: x is an integer, x² ≤ 4} }
(iv) D = {x: x is a letter in the word “LOYAL”}
(v) E = {x: x is a month of a year not having 31 days}
(vi) F = {x: x is a consonant in the English alphabet which proceeds k}.
Answer
(i)A = {x: x is an odd natural number}
Odd natural number are 1, 3, 5, 7, 9 …
Hence A = {1, 2, 3, 4 ..........}

(ii) B = {x: x is an integer; , ½ < x < 9/2 }
It can be observe that ½ = 0.5 and 9/2 = 4.5 , integer number between 0.5 and 4.5 are 1,2,3, and 4
Hence B = {1, 2, 3, 4}

(iii) C = {x: x is an integer; x² ≤ 4} }
Given that x² ≤ 4 taking root both sides we get - 2 ≤ x ≤ 2
Integers number between and including -2 and 2 are -2, -1, 0, 1, and 2
Hence C = {-2, -1, 0, 1, 2}

(iv) D = (x: x is a letter in the word “LOYAL”)
Word LOYAL has alphabet L, O, Y and A
Hence D = {L, O, Y, A}

(v) E = {x: x is a month of a year not having 31 days}
Month of year having 31 days are February, April, June, September and November.
Hence E= {February, April, June, September, November}

(vi) F = {x: x is a consonant in the English alphabet which precedes k} = {b, c, d, f, g, h, j}
Consonant in the English alphabet before alphabet k are b, c, d, f, g, and j.
Hence E = {b, c, d, f, g, h, j}