List all the elements of the following sets:(i) A = {x: x is an odd na

1.	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}.
Answer» (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}

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}.

Answer»

(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}