Sarthaks Test
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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 -1/2<x<9/2 integer,}

(iii) C = {x: x is an x2 ≥4 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}.

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(i) A = {x: x is an odd natural number} = {1, 3, 5, 7, 9 …}

( ii ) B = { x : x is an integer; -1/2 <n<9/2}

It can be seen that  -1/2= -0.5 and 9/2= 4.5

={0,1,2,3,4}

(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}

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