Let U= {2,4,6,8,10,12,14,16}
A={2,4,6,8)
B={10,12,14,16), then verify that
(1) (A)' = A
(ii) A and A' =Q
(iii)(B') '=B
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1. A'= U - A
A'= { 2,4,6,8,10,12,14,16 } - { 2,4,6,8,}
A'= { 10,12,14,16}
A'= B
(A') ' = U - A'
(A') ' = {2,4,6,8,10,12,14,16} - {10, 12,14,16}
(A') ' = { 2,4,6,8}
(A') ' = A
2. In chapter SETS *And means UNION*
A U A' = {2, 4,6,8,10,12,14,16}
A U A' = Rational number
A U A' = Q
3. B' = U - B
B' = { 2,4,6,8,10,12,14,16} - {10,12,14,16}
B' = {2,4,6,8 }
B' = A
(B') ' = U - B'
(B') ' = { 2,4,6,8,10,12,14,16} - {2,4,6,8 }
(B') ' = { 10,12,14,16}
(B') ' = B
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