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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,
}
(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}.
Asked by Aravind Last Modified
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 seen that 
and 
∴ B 
(iii) C = {x: x is an integer;}
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}
1. 1 3 5 7 .....2k+1 k = 0 1 2 3....
2. -.5 next integer is 0 1 2 3 4
last limit is 4.5
3. Factorize to get x-2 times x +2
On a no line plot 2 and -2
Check cases if x greater than 2 then factorized form becomes greater than 0
Then in between 2 and - 2 satisfies inequality
And must be integers 2, 1, 0, -1, -2 This.
Case 3 when x less than -2 inequality becomes greater than 0.
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