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3 years ago

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

Mathematics

1 answer:

mario62 [17]3 years ago

3 0

Answer:

$\{3, 6, 9\}$

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. ( $Q \subseteq U$ )

$Q''$ 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 $\{3, 6, 9\}$ .

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