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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,12<x<92}
(iii) C={x:x is an integer,x24}
(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
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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,12<x<92}
Since, 12=0.5 and 92=4.5
B={0,1,2,3,4}
(iii) C={x:x is an integer;x24}
It can be seen that
(1)2=14
;(2)2=44
;(3)2=9>4
02=04
12=14
22=44
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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