What are the elements of the complement of set A if : U = { 0, 1, 2, 3, 4, 5, 6, 7}, A = { 1, 3, 5 }, B = { 2, 4, 6}, and C = {0. 7}?

(1 Point)

{2,4,6}

{0,2,4,6,7}

{1,3,5}

{0,7}

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.

What are the elements of the complement of set A if: U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5}, B = {2, 4, 6}, and C = {0, 7}?

Find the complement of set A = {1, 3, 5} with respect to the universal set U = {0, 1, 2, 3, 4, 5, 6, 7}. This set theory problem covers the concept of complements and demonstrates how to subtract elements of a set from the universal set. Suitable for Grades 6-8.

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