Find the elements in the set \( (A \cup B) \):
Identify the elements in set \( A \):
Set \( A = \{1, 8, 10, 11, 14, 19\} \).
Identify the elements in set \( B \):
Set \( B = \{1, 2, 3, 5, 6, 9, 11, 12\} \).
Combine the elements of \( A \) and \( B \) without repetition:
\( A \cup B = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\} \).
\\(\boxed{(A \cup B) = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\}}\\)
Find the elements in the set \( (A \cap B) \):
Identify the elements in set \( A \):
Set \( A = \{1, 8, 10, 11, 14, 19\} \).
Identify the elements in set \( B \):
Set \( B = \{1, 2, 3, 5, 6, 9, 11, 12\} \).
Find the common elements in \( A \) and \( B \):
The common elements are \( \{1, 11\} \).
\\(\boxed{(A \cap B) = \{1, 11\}}\\)
\\(\boxed{(A \cup B) = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\}}\\)
\\(\boxed{(A \cap B) = \{1, 11\}}\\)