If $A$ and $B$ be any two sets, then $(A \cap B)'$ is equal to
$A' \cap {\rm B}'$
$A' \cup B'$
$A \cap B$
$A \cup B$
(b) From De’ morgan’s law, $(A \cap B)' = A' \cup B'$.
Fill in the blanks to make each of the following a true statement :
$\varnothing^ {\prime}\cap A$
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
$\{ x:x$ is an even natural number $\} $
If $U =\{1,2,3,4,5,6,7,8,9\}, A =\{2,4,6,8\}$ and $B =\{2,3,5,7\} .$ Verify that
$(A \cup B)^{\prime}=A^{\prime} \cap B^{\prime}$
If $U=\{a, b, c, d, e, f, g, h\},$ find the complements of the following sets:
$B=\{d, e, f, g\}$
$A \cap A^{\prime}=\ldots$
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