Explanation:
B Given, \(\mathrm{A}=\{2,3,4,8,10\}, \mathrm{B}=\{3,4,5,10\), \(12\}\) and \(C=\{4,5,6,12,14\}\)
Then, \(\mathrm{A} \cup \mathrm{B}=\{2,3,4,8,10\} \cup\{3,4,5,10,12\}\)
\(=\{2,3,4,5,8,10,12\}\)
And \(A\)
\(A \cup C =\{2,3,4,8,10\} \cup\{4,6,5,12,14\}\)
\(=\{2,3,4,5,6,8,10,12,14\}\)So, \((A \cup B) \cap(A \cup C)=\{2,3,4,5,8,10,12\}\)