NCERT Class XI Mathematics - Sets - Solutions

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Question : 5
Total: 73
List all the elements of the following sets :
(i) A = {x : x is an odd natural number}
(ii) B = {x : x is an integer,
1
2
< 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 precedes k}.
Solution:  
(i) A = {x: x is an odd natural number}
∴ A = {1, 3, 5, 7, ............}
(ii) B = {x: x is an integer, −
1
2
< x <
9
2
}
∴ B = {0, 1, 2, 3, 4}
(iii) C = {x: x is an integer, x2 ≤ 4}
x2 ≤ 4 ⇒ –2 ≤ x ≤ 2
∴ C = {–2, –1, 0, 1, 2}
(iv) D = {x: x is a letter in the word “LOYAL”} ∴ D = {L, O, Y, A}
(v) E = {x: x is a month of a year not having 31 days}
∴ E = {February, April, June, September, November}
(vi) F = {x: x is a consonant in the English alphabet which precedes k)
∴ F = {b, c, d, f, g, h, j}
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