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(a) If U= {1,2,3,……, 10} ,A = { 1,2,3,4...

(a) If U= {1,2,3,……, 10} ,A = { 1,2,3,4,5}, B= {1,3,5,7,9} , C {2,4,8,10}, verify that :
(i) `(AuuB)^(c)=A^(c)capB^(c)`
(ii) `(AcapB)^(c)=A^(c)uuB^(c)`
(iii) `A-B=AcapB^(c)`
(iv) `Acap(BuuC)=(AcapB)uu(AcapC)`.
(b) If U={1,2,3,4,5,6,7,8,9},
A={2,4,6,8} and B= {2,3,5,7}.
Veify that : (i) `(AuuB)^(c)=A^(c)capB^(c)`
(ii) `(AcapB)^(c)=A^(c)uuB^(c)`.

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