Question

List all the elements of the following sets: (i) A = {x: x is an odd natural number} (ii) B = {x: x is an integer,} (iii) C = {x: x is an 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 1

A={1,3,5,7...,}
B={....,-3,-2,-1,0,1,2,3,4,...}
C={....,-3,-2,-1,0,1,2,3,...}
D={L,O,Y,A}
E={feb,apr,june,sep,nov}
F={k,l,m,n,p,q,r,s,t,v,w,x,y,z}

Answer 2

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 }

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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}

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