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If U ={1, 2, 3, 4, 5, 6, 7, 8, 9 }, A= {...

If `U ={1, 2, 3, 4, 5, 6, 7, 8, 9 }`, `A= {2, 4, 6, 8}`and`B = { 2, 3, 5, 7}`. Verify that(i) `(AuuB)^(prime)=A^(prime)nnB^(prime)` (ii) `(AuuB)^(prime)=A^(prime)uuB^(prime)`

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`A' = U -A = {1,3,5,7,9}`
`B' = U - B = {1,4,6,8,9}`
(i) `A uu B = { 2,4,6,8,,3,5,7}`
`(A uu B)' = {1,9}`
`A' nn B' = {1,9}`
(ii) `(A nn B)' = U - {2}`
`= {1,3,4,5,6,7,8,9}`
`A' uu B' = {1,3,5,7,4,6,8,9}`
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