Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9}. What is Q'?
(1 point)
Responses
{3, 6, 9}
{3, 6, 9}
{4, 5, 7, 8}
{4, 5, 7, 8}
{1, 2, 4, 5, 7, 8, 10}
{1, 2, 4, 5, 7, 8, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
The correct answer is: {1, 2, 4, 5, 7, 8, 10}.
To find the complement of a set Q, denoted by Q', we need to determine all the elements that are in the universal set U but not in the set Q.
Given that the universal set U is { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and the set Q is {3, 6, 9}, we need to identify all the numbers in U that are not in Q.
Looking at both sets, we can see that the numbers 1, 2, 4, 5, 7, 8, and 10 are not present in Q.
Therefore, Q' is {1, 2, 4, 5, 7, 8, 10}.
To find Q', which represents the complement of Q, we need to find all the elements in the universal set U that are not in Q.
The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Set Q = {3, 6, 9}.
To find Q', we need to find all the elements in U that are not in Q:
Q' = U - Q = {1, 2, 4, 5, 7, 8, 10}.
Therefore, the correct answer is:
{1, 2, 4, 5, 7, 8, 10}.