Question

Q.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 proceeds k}.

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Answer 1

Solution :

(i) A = {x: x is an odd natural number}

A = {1 , 3 , 5 ...}

(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}

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 proceeds k}.

F = { b , c , d , f , g , h , j }

____________________

Set :

A well defined collection of objects is known as Set .

Two methods of representing a Set are :

• Tabular or Roaster form
• Set-builder form

In Roaster form no element is repeated . For Example : LOYAL = { L ,O , Y , A}

____________________

Answer 2

Solution :-

(i) A = {x: x is an odd natural number}

A = {1 , 3 , 5, 7, 9....}

(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}

C = {-2, -1, 0, 1, 2}

(iv) D = {x: x is a letter in the word “LÒYAL”}

There are 4 letters in LÒYAL. L,O,Y,A [Because L is repeated 2 times}

D = {L, O, Y, A}

(v) E = {x: x is a month of a year not having 31 days}

Months that have not 31 days are - February, April, June, September, November

E = {February, April, June, September, November}

(vi) F = {x: x is a consonant in the English alphabet which proceeds k}.

{b, c, d, f, g, h, j}

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