Let $U=\{1,5,6,7,11,13,15,16,18\}$. Determine the complement of the set $\{6,11,16\}$.
The complement is
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Answer

$\boxed{\text{Therefore, the complement of the set } \{6,11,16\} \text{ with respect to } U \text{ is } \{1,5,7,13,15,18\}}$

Steps

Step 1 ：Given the universal set $U = \{1, 5, 6, 7, 11, 13, 15, 16, 18\}$ and the set $A = \{6, 11, 16\}$

Step 2 ：The complement of a set $A$, with respect to a set $U$, is the set of elements in $U$ that are not in $A$

Step 3 ：Thus, we need to find the elements in $U$ that are not in the set $A$

Step 4 ：By comparing the elements in both sets, we find that the elements $1, 5, 7, 13, 15, 18$ are in $U$ but not in $A$

Step 5 ：$\boxed{\text{Therefore, the complement of the set } \{6,11,16\} \text{ with respect to } U \text{ is } \{1,5,7,13,15,18\}}$