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, }

(iii) C = {x: x is an integer,x ²≤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} = {1, 3, 5, 7, 9 …}
(ii) B = {x: x is an integer; }
It can be se
(ii) B = {x: x is an integer; }
It can be seen that -1/2 = - 0.5 and 9/2 = 5
∴ B = {0,1,2,3,4}
(iii) C = {x: x is an integer;x ²≤4}
It can be seen that
(-1)² = 1 ≤ 4; (-2)² = 4 ≤ 4; (-3)² = 9 > 4
0² = 0 ≤ 4
1² = 1 ≤ 4
2² = 4 ≤ 4
3² = 9 > 4
∴C = {-2, -1, 0, 1, 2}
(iv) D = (x: x is a letter in the word “LOYAL”) = {L, O, Y, A}
(v) E = {x: x is a month of a year not having 31 days}
= {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}