To find the complement of a set, we need to determine which elements of the universal set $U$ are not in the given set. The universal set $U$ is defined as:

$U = \{3, 4, 5, 6, 7, 8, 9, 10, 11\}$

The given set is:

$A = \{5, 7, 9, 10\}$

The complement of set $A$, denoted by $A'$, is the set of elements that are in $U$ but not in $A$.

Now, let's find $A'$:

1. Identify the elements in $U$ that are not in $A$.

$A' = \{3, 4, 6, 8, 11\}$

So, the complement of the set is:

$\{3, 4, 6, 8, 11\}$

Final Answer:

The complement of the set is: 3, 4, 6, 8, 11

Do you want more details on this or have any questions?

Here are 5 related questions for further exploration:

1. What is the complement of a set in the context of set theory?
2. How do you find the union of two sets?
3. How do you find the intersection of two sets?
4. What is the difference between the complement and the difference of two sets?
5. How can we represent sets and their complements using Venn diagrams?

Tip: When finding the complement of a set, always ensure that the universal set is clearly defined.