Suppose \(D, E\) and \(P\) are subset of a universal set U. Let \(U\) be the set of natural numbers not greater than 10 , while \(D, E\) and \(P\) are respectively the set of odd numbers, even numbers and prime numbers. For any set \(X\), its complement \(X\) and \(Q\) denote the empty set.
Display the set \(D \cap P\)
Display the set \(D \cap P\)
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Correct Answer: Option B
Explanation:
\begin{aligned}
&U=\{1.2 .3 \ldots \ldots \ldots 10\} \\
&D=\{1.3 .5 .7 .9\} \\
&D=\{2.4 .6,8,10\} \\
&E=(2,4.6 .8,10) \\
&P=\{2.3 .5 .7\} \\
&\{D \cap P\}=\{2\}
\end{aligned}
\begin{aligned}
&U=\{1.2 .3 \ldots \ldots \ldots 10\} \\
&D=\{1.3 .5 .7 .9\} \\
&D=\{2.4 .6,8,10\} \\
&E=(2,4.6 .8,10) \\
&P=\{2.3 .5 .7\} \\
&\{D \cap P\}=\{2\}
\end{aligned}