Write the following set in set builder notation, where \( U=\{1,2,3, \ldots, 20\} \). \( \{4,6,8,10,14\} \) Write the given set in set builder notation. Choose the correct answer below. A. \( \{x \in U \mid x \) is even and \( 4 \leq x \leq 14\} \) B. \( \{x \in U \mid x \) is even and \( x \neq 12\} \) C. \( \varnothing \) D. \( \{x \in U \mid x \) is even and \( 4 \leq x \leq 14 \) and \( x \neq 12\} \)

The correct answer is D. In set builder notation, the set \( \{4,6,8,10,14\} \) can be expressed as \( \{x \in U \mid x \) is even and \( 4 \leq x \leq 14 \} \) but needs to account for the fact that 12 is not included in the set. Thus, it becomes \( \{x \in U \mid x \) is even and \( 4 \leq x \leq 14 \) and \( x \neq 12\} \). This captures precisely the elements of your original set while adhering to the conditions laid out.