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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

Respuesta :

xero099

Answer:

[tex]\{3, 6, 9\}[/tex]

Step-by-step 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. ([tex]Q \subseteq U[/tex])

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

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

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