The complement of a set $A$ (denoted as $A'$ or $A^c$) with respect to the universal set $U$ consists of all elements in $U$ that are not in $A$.

Given:

• $U = \{ 0, 1, 2, 3, 4, 5, 6, 7 \}$
• $A = \{ 1, 3, 5 \}$

To find $A'$, we need to identify the elements in $U$ that are not in $A$.

Elements in $U$ but not in $A$ are:

$A' = \{ 0, 2, 4, 6, 7 \}$

Therefore, the correct answer is:

$\{0, 2, 4, 6, 7\}$

Answer: {0, 2, 4, 6, 7}

Would you like more details, or do you have any questions?

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Related Questions:

1. What are the elements of $A \cap B$ given the sets above?
2. What are the elements of $A \cup B$ given the sets above?
3. What is the complement of set $B$ with respect to $U$?
4. What is the intersection of $A'$ and $C$?
5. If $D = \{ 2, 3, 5 \}$, what is $A \cup D$?

Tip: When finding the complement of a set, always consider all elements in the universal set $U$ that are not in the given set.