If A = {1, 2, 3, 4} B = {3,4,5,6}, C = {4,5,6,7,8} and
Universal set n = {1,2,3,4,5,6,7,8,9,10}.
verify demorgans law.

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Solution

$A = (1, 2, 3, 4)$
$B = (3, 4, 5, 6)$
$C = (4, 5, 6, 7, 8)$
$U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)$
According to DeMorgan's Law
$(A \lor B)^{'} = A^{'} \land B^{'}$
$A^{'} = (\land 5, 6, 7, 8, 9, 10)$
$B^{'} = (1, 2, 7, 8, 9, 10)$
$(A \lor B) = 3, 4$
$(A \lor B)^{'} = 1, 2, 5, 6, 7, 8, 9, 10$
$A^{'} \land B^{'} = 1, 2, 5, 6, 7, 8, 9, 10$
Hence proved

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