Fill in the blanks to make each of the following a true statement:
$A \cap A^{\prime} = \ldots$
$A \cap A^{\prime} = \ldots$
(A) The complement of a set $A$,denoted by $A^{\prime}$,consists of all elements in the universal set $U$ that are not in $A$.
By definition,$A$ and $A^{\prime}$ are disjoint sets,meaning they have no common elements.
Therefore,the intersection of a set and its complement is the empty set.
$A \cap A^{\prime} = \varnothing$
By definition,$A$ and $A^{\prime}$ are disjoint sets,meaning they have no common elements.
Therefore,the intersection of a set and its complement is the empty set.
$A \cap A^{\prime} = \varnothing$
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