Question

Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9). What is Q"?

{3, 6,9}

{4, 5, 7, 8}

{1, 2, 4, 5, 7, 8, 10}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Why hasn’t anyone asked this question yet? Wth 30 points y’all

Answer 1

`\{3, 6, 9\}`

Explanation:

U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. (
`Q \subseteq U`)

`Q''` represents the complement of the complement of
`Q`. The complement of
`Q` is the subset of
`U` formed by elements not contained in
`Q`. which simbolized by
`Q'`. That is, 1, 2, 4, 5, 7, 8, 10.

The complement of
`Q'` corresponds to the elements contained in
`Q`. Hence, the correct answer is
`\{3, 6, 9\}`.