To find the complement of a set, we need to subtract the given set from the universal set $U$. The universal set is:

$U = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$

The set given is: $A = \{x \mid x \text{ is in } \mathbb{N} \text{ and } x < 7\}$ So, the set $A$ contains: $A = \{0, 1, 2, 3, 4, 5, 6\}$

To find the complement of $A$ (denoted as $A^c$), we subtract $A$ from $U$, which gives us the elements that are in $U$ but not in $A$: $A^c = U - A = \{7, 8, 9, 10\}$

So, the complement of the set is: $A^c = \{7, 8, 9, 10\}$

Do you need further clarification or details?

Here are 5 related questions:

1. What is the definition of the complement of a set?
2. How would you find the complement if the universal set were infinite?
3. What is the union of a set and its complement?
4. How would you represent the complement using Venn diagrams?
5. How does the complement change if the universal set changes?

Tip: The complement of a set always contains elements from the universal set that are not in the original set.