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NCERT Class XI Mathematics - Sets - Solutions
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Question : 5 of 73
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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, < x < } (iii) C = {x : x is an integer, ≤ 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, − < x < } ∴ B = {0, 1, 2, 3, 4} (iii) C = {x: x is an integer, ≤ 4} ∴ ≤ 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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