Question

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
(1 Point)


{-3, -2, -1, 1, 2, 3}

{-4, -3, -2, -1, 1, 2, 3}

{-4, -3, -2, -1, 1, 2, 3, 4}

{-4, -3, -2, -1, 0, 1, 2, 3}

Answer 1

The complement of a set A in a universal set U consists of all the elements in U that are not in A.

Given:
- Universal Set U = { -4, 3, -2, -1, 0, 1, 2, 3, 4}
- Set A = {0}

To find the complement of A (denoted as \( A' \)), we subtract the elements of A from U:

1. Start with all elements in U: { -4, 3, -2, -1, 0, 1, 2, 3, 4}
2. Remove the elements in A: {0}

The elements remaining in U that are not in A will be:

U - A = { -4, 3, -2, -1, 1, 2, 3, 4}

Thus, the complement of A is:

{-4, -3, -2, -1, 1, 2, 3, 4}

So the correct answer is:

**{-4, -3, -2, -1, 1, 2, 3, 4}**